Seminar Score A Add Maths P2.ppt

7232019 Seminar Score A Add Maths P2ppt

httpslidepdfcomreaderfullseminar-score-a-add-maths-p2ppt 177

SEMINAR SCORE A SPM

2012

AdditionalMathematicsFriday 29 June 2012

SMK Permatang Tok Labu

Penaga



PEPERIKSAAN SPM2012

MULA 05 NOV 2012ERAKIR 0 $IS 2012

ERAPA ARI LAI ampampampampamp



128

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am

0200 tg 0$0 tg$amp22 (dd) Mat+

Kertas 2

2 am $0 minit



HOW ARE YOU TODAY



PEPERIKSAAN SPM

2012





158

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



ldquoT-M-RR-S SSS

345NS T-6(78

SPM ADDITIONALSPM ADDITIONAL

MATHEMATICS MATHEMATICS

34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe

+trategybulloo+e te ltorreltt

gtormua

bullilt Toilt bullSubtoilt bullat ingto a+ been

givenbullat i+ to be

gtound

bullarry out te

ltaltuation+

bull4ra +ketlting

bullreating tabe+ )))

bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT

bull Subjective Questions

bull Num of Questions A $ amp 2(

bull Tot) +)-s

bull Du)tion 0 1ous 2 minutes

bull 3OD 3 4 +(5amp H(5ampbull A66ition) +)tei)s Sltientigtilt altuator+

Mathematical Tales

4eometrilta +et+)



Ke tar$s achieiamp (A (

bull Read Bue+tion ltaregtuybull Foo in+trulttion+bull Start it your gtavourite Bue+tionbull So your orking lteary

bull oo+e te ltorreltt gtormua to be u+ed ACCrrectl )se$ D

bull Fina an+er mu+t be in te +ime+t gtormbull Te end an+er +oud be ltorreltt to S)F)

Cor gtoo te in+trulttion given in teBue+tionD

π E $sdot12



bull Proer orreltt ay+ ogt riting matematilta

notation+

bull eltk an+er+

bull Proer aoltation ogt time Cgtor ealt Bue+tionD

Paer 1 $ = amp minute+ gtor ealt Bue+tion

Paer 2

Selt) ( = 10 minute+ gtor ealt Bue+tion

Selt) 3 1G minute+ gtor ealt Bue+tion

Selt) 1G minute+ gtor ealt Bue+tion




Strategies amp Techniques in Answering

SPM Additional Mathematics7 Time Allcate$ 0 1ous 2 minutes

8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp

8)t A ampamp minutes8)t $ ampamp minutes

8)t 2 minutes

Rec1ec- minutes



bull An)9se S8+ )st 9e)suestions

bull Anslte b)se6 on t1ecomm)n6 of t1e uestions

bull Time )oc)tion = b)se6 on

t1e m)-s )oc)te6


SPM Additional Mathematics



bull St)tingt to )nslte t1e e)s9

uestionsbull Anslte t1e uestions

)cco6ingt to t1e instuction

bull Aoc)te time b)se6 on t1e

m)-s )oc)te6





Mark Scheme Knowledge PSkill K

Value N [ N depends on K

marks ]DM



State(ies

Paper 2 32232

3 questions from Part A

2 questions from Part B

2 questions from Part C





3 +)estiamps Part A m)-s

7 Simut)neous Eu)tions

7 8ogtessions

7 Diffeenti)tion B Cntegt)tion

2 +)estiamps Part 0 m)-s

7 3ine) 3)lt

7 icu) +e)sue

+)estiamps -hich Are Eas t Aampser aamp$

Hih Mars0 are Allcate$

2 +)estiamps Part C 0 m)-s 7 3ine) 8ogt)mmingt

7 Soution of Ti)ngtes




7 oo6in)te eomet9

7 Cntegt)tion

3 +)estiamps Part A 00 m)-s

7 ecto

7 Tigtonometic Functions

7 Qu)6)tic Functions





Techniques

For Topics that Easy

to Gain Marks



Simutaneou+ Buation+

To Tye+ Linear H Non Linear

I rite te term+ ilt are digtgterent

gtrom te inear eBuation 1MI Sub+titute te term+ into te non

inear eBuation Ciminate one unknonD 1M

I Sove te Buadratilt eBuation 1M

I ( )r ltorreltt unknon+ 2M

Sim)ltaampe)s E)atiamp



PR-4RSS5-NS

+e te gtormuae ogt Progre++ion+

(ritmetilt Progre++ion+

amp=term+ T amp E a A Camp 1D$ 2M $M

Te +um ogt gtir+t amp=term+

S amp n2

2a A Camp 1D$ 2M



4eometrilt Progre++ion+

amp=term+ T amp E ar amp 1


S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M




Te +um ogt ingtinity

S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +

0+ingte gtormuaKte oint tat internaydivide+ a ine +egment in te ratio K

C D

I +e te gtormua ogt te rodultt ogt gradient

erendiltuar ine+

1 2 2

1

11= minus rArr = minusm m m

m



--R65N(T 4-MTR7

I Form te eBuation ogt te +traigt ineC+D

1 E m1C 6 6 1D

I rite te eBuation ogt te +traigt ine in

te gradient gtorm E m6 A c



Coordinates Geometry

I +e te gtormua ogt di+tanlte to gtind

te eBuation ogt te oltu+

--R65N(T 4-MTR7



L5N(R L(

I Maniuate te tabe to gtind te vaue ogt 8

ariales and 9 ariales) on+trultt a tabe gtor te vaue+

9

8

I Pot 8 variabe+ again+t 9 variabe+ )

ltorreltt ae+ H unigtormed +ltae+ H te oriOonta

ai+ mu+t +tart+ it Oero

I ( oint+ otted ltorreltty



L5N(R L(

I 6ra te ine ogt be+t gtit

8 =interltet mu+t be +on

I +e te gra to gtind vaue ogt ltertain vaue C+D

Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re

CiD s E r θ engt ogt arlt

CiiD A E r 2

θ

(rea ogt +elttor

1

2

CiiiD (rea ogt +egment

E (rea ogt +elttor area ogt triange

I (nge Cvaue ogt θD mu+t be in radian



CC

Ramlee CGAziz Tenis



5NT4R(T5-N H 65FFRNT5(T5-N

I +ing gradient gtunlttion to gtind te

eBuation ogt te lturve

$ 2 $ 6 2

I +ing to determine a

maimum or a minimum oint)






= int $ $6

Iampteratiamp aamp$ Diereamptiatiamp




FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint

Caong =ai+D Iampteratiamp



S-LT5-N -F TR5(N4LS

I +e +ine rue ltorreltty

sin sin sin

a b c

A B C = =

I +e lto+ine rue ltorreltty

2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS

I +e te gtormua te area ogt triange

ltorreltty

1

2sinab C

Sl)tiamp O Triaample



L5N(R PR-4R(MM5N4

I rite a TR ineBuaitie+ tat gtugti

te ltondition+ +tated

I 6ra a TR +traigt ine+ ltorreltty

gtrom te ineBuaitie+)

I 6ra at ea+t one +traigt ine ltorrelttygtrom te above ineBuaitie+ ilt

invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4

I Region +aded ltorrelttyI +e te gra to gtind

range and anyting ilt reated

I +e te otimum gtunlttion

to get te mamin oint+

enlte te mamin vaue+

ilt are needed

Liampear Prrammiamp



)hats all +o

no

Assalam-alai -m mEN ULKELI A$UL

RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A

1 + cot2 A = cosec2 A

1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r

E a lto+ 6 A c r E tan 6

a amitude Cma) H min)D ltylte

c +igtted tran+ation



TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1

E lto+ 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

I +ing te gra ogt trigonometrilt

gtunlttion+ to gtind te number ogt +oution+

gtor te given eBuation) Te +ame ae+ trigonometrilt gtunlttion

H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+

I re++ velttor+ in term+ ogt 6 and )

I +ing te triange a)

I +ing te ratio teorem to te velttor)

Qelttor

I Find te vaue ogt lton+tant+ u+ing te

given velttor



5nde Number+

I +ing gtormua rilte inde I E P 1P 0times

100

P 0 rilte at te eriod

P 1 rilte in a ltertain time eriod

I +ing gtormua ltomo+ite indeI EΣ- i I i

Σ

- i

I rilte inde

- eigtage



5nde Number+

eigtage - i+ a vaue given to ealt

item to +o the relatie imrtaampce ogtealt item in a ltertain ltondition)

Cn6eG Numbes



I +ing te given tabe to dra

i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m

I From i+togram gtind te mode



ST(T5ST5S

I +e te gtormua ogt uer Buartie

3

3

3

3

QQ

N Q C

minus divide= + divide

divide



ST(T5ST5S

I +e te gtormua ogt oer Buartie

1

1 1

1

Q

Q

N Q C

minus divide= + divide divide



ST(T5ST5S

I Find te interBuartie range

3 1

3 1

3 1

Q QQ Q

N N C C

minus minus divide divide+ minus + divide divide

divide divide



Stati+tilt

+e te gtormua ogt Standard 6eviation

σ

E

sum 6 2

sum

2

C D

rite te vaue ogt +tandard deviation

ST(T5ST5S

Statistic h



The Binomial istribution

P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In

n Tot) numbe of ti)s

q ob)biit9 of Jf)iueK p 8ob)biit9 of JsuccessK

r No of JsuccessesK

p L q

PROAILI)4 $IS)RIU)IONS

Mean = np

Variance = npq



The NMA istribution


Candidates must be able to hellip

determine the Z -score

use the CND table to find the

values (probabilities)

minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m

mEN ULKELI A$ULRAMAN



Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM

MRSM Pengkalan HuluMRSM Pengkalan Hulu ulai $$ ulai $$



S-MNA SC- A SPM S-MNA SC- A SPM Anjuran dan Tajaan Anjuran dan Tajaan

MMSintok ampeahSintok ampeah

( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0

To di+tinltt root+ 2 ac 0

To eBua root+ 2 ac E 0

No root+ 2 ac 0

To rea root+ 2 ac ge 0



(6R(T5 (T5-NS

I 6etermine te eBuation given te root+a6

2

A 6 A c E 0

5gt α and β are te root+ ogt te eBuation

a6 2 A 6 A c E 0 te eBuation i+

6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0

α + β = minus αβ =lt1ee )n6b c

a a

2

SEMINAR SCORE A SPM



2011

Additional

MathematicsS(TR6(7 $0 (ri 2011

MRSM Merbok

MU3EF3C A$DU3 RAH+AN

SEMINAR SCORE A SPM



2011

Additional

MathematicsFR56(7 0G M(7 2011

SMK( KL


2011



2011

AdditionalMathematicsSunday 10 Juy 2011


Penaga

Anjuran dan Tajaan Anjuran dan Tajaan

PRIHATIN PRIHATINampamp

2011



2011

AdditionalMathematicsSaturday 0 (ug 2011

MRSM Pengkaan uu

2011



2011

AdditionalMathematicsedne+day 0amp Set) 2011

MRSM P6RM)

2011



2011

AdditionalMathematicsSaturday 1amp Set) 2011

MS Sa (am)

2011



2011

AdditionalMathematicsFriday 0amp -ltt) 2011

PTPL Kota 3aru)

2011



2011

AdditionalMathematicsedne+day 2 -ltt) 2011

MRSM Troak)



S-MNA S A S-MNA S A

SPM SPM Anjuran dan Tajaan Anjuran dan Tajaan

P entosa (ampsite

Ka)a $eran

2 i 2-12



PEPERIKSAAN SPM2012





128

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



HOW ARE YOU TODAY



PEPERIKSAAN SPM

2012





158

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



ldquoT-M-RR-S SSS

345NS T-6(78



34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



128

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



HOW ARE YOU TODAY



PEPERIKSAAN SPM

2012





158

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



ldquoT-M-RR-S SSS

345NS T-6(78



34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



HOW ARE YOU TODAY



PEPERIKSAAN SPM

2012





158

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



ldquoT-M-RR-S SSS

345NS T-6(78



34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



PEPERIKSAAN SPM

2012





158

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



ldquoT-M-RR-S SSS

345NS T-6(78



34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



158

21 Nov 2012

Rabu

000 agi 1000 agi

$amp21 (dd)Mat+

Kertas 12 am


Kertas 2

2 am $0 minit



ldquoT-M-RR-S SSS

345NS T-6(78



34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



ldquoT-M-RR-S SSS

345NS T-6(78



34722 34722



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TakeOut



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



PROVE THAT



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



o to Sove

a Probem

nder+tand

te Probem

Pan your

Strategy

eltk your

(n+er+

6o = arry out

7our Strategy

bulloo+e +uitabe


gtormua



gtound

bullarry out te

ltaltuation+

bull4ra +ketlting


bull5+ te an+er

rea+onabe

bull (ny oter

metod+



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



PAPER 2 FORMAT



bull Tot) +)-s



Mathematical Tales

4eometrilta +et+)








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12








π E $sdot12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12




notation+

bull eltk an+er+



Paer 2









8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12





8)t A 4 minutes

8)t $ 4 minutes

8)t 2 minutes

7 S)estiamp


8)t 2 minutes

Rec1ec- minutes






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12






t1e m)-s )oc)te6









m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12







m)-s )oc)te6







marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12





marks ]DM



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



State(ies

Paper 2 32232










7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12





7 8ogtessions



7 3ine) 3)lt

7 icu) +e)sue








7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12




7 oo6in)te eomet9

7 Cntegt)tion


7 ecto







Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



Techniques


to Gain Marks













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12













PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



PR-4RSS5-NS





S amp n2

2a A Camp 1D$ 2M






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12






S amp aCr amp 1D

r 1 or aC1 r ampD

1 5 r

PR-4RSS5-NS


2M$M

2M





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12





S infin

a

1 5 r

Progre++ion+

PR-4RSS5-NS


2M



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



--R65N(T 4-MTR7

I

1 2 1 2

m n

nx mx ny my

x ym n m n

+ + = divide+ +


C D


erendiltuar ine+

1 2 2

1


m



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



--R65N(T 4-MTR7


1 E m1C 6 6 1D








--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12






--R65N(T 4-MTR7



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



L5N(R L(



9

8







L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



L5N(R L(




Liampear La



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



5RL(R M(SR

I +e te gtormuae

Circ)lar Meas)re


CiiD A E r 2

θ

(rea ogt +elttor

1

2






CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



CC

Ramlee CGAziz Tenis






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12






$ 2 $ 6 2








= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12






= int $ $6





FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12




FormuaeCiD (rea

a

b

ydxint

Caong 6 =ai+Dc

d

xdyint

aon =ai+




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12




FormuaeCiiD Qoume

2π

a

b

y dxint

Caong 6 =ai+D

2π

c

d x dyint




S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



S-LT5-N -F TR5(N4LS


sin sin sin

a b c

A B C = =


2 2 2

2 2 2

2 2 2

2

2

2

cos

cos

cos

a b c bc A

b a c ac B

c a b ab C

= + minus

= + minus

= + minus



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



S-LT5-N -F TR5(N4LS


ltorreltty

1

2sinab C




L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



L5N(R PR-4R(MM5N4






invove+ 6 and )

Interpretation



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



L5N(R PR-4R(MM5N4






ilt are needed

Liampear Prrammiamp



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



)hats all +o

no


RAMAN

)eima Kasih



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



)eima Kasih

)han U

S-an

S-ia

Kamsia L-

Nandi

Ko-na

3ie 3ie



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TR54-N-MTR5 FNT5-NS

I Prove te identity

sin2 A + cos2 A = 1

tan2 A + 1 = sec2 A


1

tan

sin cos

cot

cosecsec

1

1

1

1

sin

tan = cos

seccos

cosecsin

cos

cot sin tan

A

A A

A A

A A

A

A A A

=

=

= =

3a+ilt

trigonometrilt

identitie+



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TR54-N-MTR5 FNT5-NS

I Sketlt te gra ogt

E a +in 6 A c r






TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TR54-N-MTR5 FNT5-NS

E a +in 6 A c

π$

2

6 0 2π

2

π

1

1

E +in 6 0 le le 2π



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TR54-N-MTR5 FNT5-NS

E a lto+ 6 A c

π$

2

6 0 2π

2

π

1

1




TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TR54-N-MTR5 FNT5-NS

E tan 6

π$

2

6 0 2π

2

π

E tan 6 0 le le 2π



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



TR54-N-MTR5 FNT5-NS




H inear gtunlttion

TigtoTrigo Bh



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



5RL(R M(SR

I +e te gtormuae

irltuar Mea+ure


CiiD A E r 2

θ

(rea ogt +elttor

1

2




Circ)lar Meas)re h



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



FN

PR WI



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



Qelttor+




Qelttor


given velttor



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



5nde Number+


100




Σ

- i

I rilte inde

- eigtage



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



5nde Number+



Cn6eG Numbes




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12




i+togram)

ST(T5ST5S

I +e median gtormua

m E L C

1

2N lt

m




ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



ST(T5ST5S


3

3

3

3

QQ

N Q C


divide



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



ST(T5ST5S


1

1 1

1

Q

Q

N Q C




ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



ST(T5ST5S


3 1

3 1

3 1

Q QQ Q

N N C C


divide divide



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



Stati+tilt


σ

E

sum 6 2

sum

2

C D


ST(T5ST5S

Statistic h




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12




P( ) ( ) ( )n r n r

r $ r C q

r 0 2 In



r No of JsuccessesK

p L q


Mean = np

Variance = npq



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



The NMA istribution






minus= x (

)

f )

0 amp



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



)

)+

15 ) )

)+

ndash 15 1

= ndash 1

)+

1

ndash

Pro$ist



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



)hats all +o

noAssalam-alai-m




Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



Terima Kasih

Thank U

kran

kria

Kamsia

$anri

Koknka

ampie ampie

MN$ $



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



MN$ $ SPMSPM






( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12





( ) May $$ ( ) May $$

$enan amperasama



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



FN

PR (W



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



(6R(T5 (T5-NS

I Tye+ ogt root+a6

2

A 6 A c E 0



No root+ 2 ac 0




(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



(6R(T5 (T5-NS


2

A 6 A c E 0



6 2 C+)o)rD 6 A )o)r E 0 r

6 2 C α A βD 6 A αβ E 0


a a

2

SEMINAR SCORE A SPM



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011

Additional


MRSM Merbok


SEMINAR SCORE A SPM



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011

Additional


SMK( KL


2011



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011



Penaga



2011



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011


MRSM Pengkaan uu

2011



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011


MRSM P6RM)

2011



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011


MS Sa (am)

2011



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011


PTPL Kota 3aru)

2011



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



2011


MRSM Troak)



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12



S-MNA S A S-MNA S A


P entosa (ampsite

Ka)a $eran

2 i 2-12

Documents

Seminar Score A Add Maths P2.ppt