Advanced Mathematics/Trigonometry Worksheet 6.5 - 6.6

Solve each trigonometric equation for x where 0 ( x < 2n. If not exact, round to the nearest hundredth ofa radian.

Ir\l-

tG

I7-x

1^l. stnx--=U2

Sln ,[ :x=E

2.7+€tanx=0\i1t"- ,r -- -l -

l-,,,,-1--'- H= -Ex= 5+ x-' "4

< 6:'t= l-E tr1_ \ar (r-.)

4.9sinx-t =sinx*28s'ny = i q+

9t/r )t = 7

3. 5 cos x + Lt = 4 cos x + 12Cosv -- |

X=O

10\

9. sin 2x = sinx3 in?{-$16{zP

*sn xcnsx-st n 't : o

Srn\ (lcosx-t)=o

Eb

5tY7(r (aJ

4c x: .i8 os x=

{o,7t, 3,7d, S

2,1L

5.3tanxsinx*sinr-0

J;:',::ll;:,=o qi=

Xar x=r aflff*\*q E :(-- ,,r, B* x-. *ott'

lor ''3 lr t(,5'7b3

7. cos 3x = 1 6t XgzGrf

7x: o 3x"2r 1x?z+r

x--t2 x-'1 "g

{ o,T ,gS

6. sin 2x = cosxSrn2x'(98{=o

eg^v.cosx--coSx = 0(psx (as,nx- r): o

tswr-l-- oC'S x>O

^ttnt.zrl-8, l--%u st"r'->t --T ,x=

LT,5 ' t{'zTt

d45t

L

8. csc 2x = 2 04 eX z4rixaT .?x=T *=fx=5. x,# x"E

{r,T ,'# "El10. cot 2x=4 bSaxLzld -"W

Qx--,14 Jx=37i )r'b,53 2Y'dl'61

*=, t* X=LL1 xlg'.>lo * q '86

lo, n't l'b1' 1 3')b'' 4't:5

IB1*Z L

t17rx= G.

slnX>D A@9x-I=o?cosx> t

x--o x>ri J*t

=ii,Z

fu,E, (t T3

srn{ -e=osrn {-- 2

q

6tfi X.*l>Osrnr--- l

x=t+

11. sinzx-sinx-2=0(Srn {- aYE'nx+ r):o

12. 4coszx = |Ur*x' La

r!(D1X=: 2

x=E4Tx)=

4r=-,

14. seczx-2secx=0 ''

:€4 X (xry-a); O

serI4a

o( g<.eY'2=O

5rZ75

2rx,-3

ryt V/

*c1L --x=H 5trX-- E

, _5r^-s

,T)<E/a

13.zsin2x-5sinx-3=0(ls,nn* I [.lrnr-] )=o

JS, n X,+ I =O 8n {-3 >o

2.Srnl=-l Srn/>3t,nr=-!, a/.--E x=T

19 . ,tqi-|G t b)

15.2cos22x* cos2x-]-=0Scrsax -tfcrsax+l )=o

Ar4S24-|-9 CuStx+ l=O

a acDsa{= I , cos}r.= -lI \ 69S 1r= ? 1X--1f 3.4=371

lx=E tiTY alr''5 ai! x--if x--\y=€ r=T t--ry {=Y

fL,g'? '"f ',T"Yt17. cos 2x - sinx = 0

t'ls,rr^x-srnx=Ols,n'x+ s/,1r -l = o

(As,n .( - IVS tn x4 r) = d

)StaX-l=O S rnr+'2(2

+ "rl,i-='i t'ln:+t

/=T *'-T

< T. 5'tr7(e'sSt6.

( x

Sx

-K-a-- 1,050 r 'x -.,L9 OEI

ll,al, 5,osJ

3s7a.)<Tr 5r

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