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Unit4Review
1.Statetheamplitudeandperiodforthefunctiony=-3sin3 .
a. 3;
b. 3;
c. -3;
d. -3;
2.Usetheunitcircletofindthevalueofcos120°.
a.
b. -2
c.
d.
3.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
4. Question:Useacalculatortoapproximatetheexpression.
a. [A]
b. [B]
c. [C]
d. [D]
5.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
6. Whatisthereferenceangleof240°?
a. 120°
b. 60°
c. –60°
d. –120°
7.Findonepositiveangleandonenegativeanglethatarecoterminalwith310°.
a. -50°,670°
b. -120°,400°
c. 100°,-670°
d. 50°,-670°
8.Statetheamplitude,period,phaseshift,andverticalshiftfor
a.
b.
c.
d.
9. Usetheunitcircletofindsec(-180°).
a. 0
b. -1
c. undefined
d. 1
10.Question:
a. [A]
b. [B]
c. [C]
d. [D]
11.
Question:
Answer:Itmovesfromadepthof2.3feetto5.9feet
ð Amplitudeis(5.9-2.3)/2fromthemeanpositionð Amplitudeis1.8
Thecoefiicientofsinusoidalfunctionis1.8
[A]and[D]qualify
Att=0,[A]gives4.1–1.8=2.3
Att=0,[D]gives-4.1+1.8=-2.3
Consideringdownwardsasnegative,Att=0,boatwasat-2.3
a. [A]
b. [B]
c. [C]
d. [D]
12. Question:
a. [A]
b. [B]
c. [C]
d. [D]
13. Question:
a. [A]
b. [B]
c. [C]
d. [D]
14.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
15.Findtheexactvalueof .
a.
b. –
c. -2
d.
16.Change todegrees.
a. 45°
b. 180°
c. 135°
d. 90°
17.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
18. Question:
a. [A]
b. [B]
c. [C]
d. [D]
19.
Writeanequationofthefunctionwhosegraphisshown.
Answer:
Amplitudeis1=>CO-efficientofsinefunctionis1
Only[C]satisfiesthecondition
a. y=2sin
b. y=2sin
c. y=sin4
d. y=4sin
20.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
21. Writetheequationfortheinverseofy=Arctan4x.
a.y= tanx
b. y=2tanx
c.y= tanx
d. y=4tanx
22.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
23. Findtheexactvalueofsin ,cos ,andtan iftheterminalsideof instandardpositioncontainsthepoint(5,12).
a. sin,cos,tan
b. sin,cos,tan
c. sin,cos,tan
d. sin,cos,tan
24.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
25.Question:
Answer:
Cos(n*(2pi)+theta)=theta
-63/8=-64/8+1/8
=>cos(-63pi/8)=cos(-8pi+(1/8)pi)=cos(pi/8)
a. [A]
b. [B]
c. [C]
d. [D]
26. Whatistheperiodofthefunctionrepresentedbythegraph?
Answer:
Afterevery50units,thegraphisrepeating
a. 10
b. 50
c. 150
d. 25
27.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
28. Question:
Cos(-4.75)
4.75fallsinquadrant4justafter270degree.But,-4.75isobtainedbydrawingachord(alineintersectingcircleat2points)thatisperpendiculartoxaxis.Thispointrepresenting-4.75liesinfirstquadrantandtheangleisverycloseto90degree.
Cos(pi/2)=0
ð Cos(-4.75)shouldbeveryclosetozeroandapositivevalue
a. -1.00
b. -0.04
c. 1.00
d. 0.04
29.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
30.
Findsin ,cos ,andtan .
a.
b.
c.
d.
31.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
32.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
33. SupposeAlexwantstokickaballovera10-footfence.Assumingthatgravityhasnoeffect,atwhatanglewouldhehavetokicktheballifhewerestanding6feetawayfromthefence?
a. 31.0°
b. 53.1°
c. 36.9°
d. 59.0°
34.Question:
Answer:
Csc(theta)=1/sin(theta)
Answer=17/8
a. [A]
b. [B]
c. [C]
d. [D]
35. Question:
Answer
Atx=0,-2cosec(5*0/4)=-inf(fromRHS)and+inf(fromLHS)
Period=2*pi*(4/5)=8pi/5
Only[B]satisfiesthat
a. [A]
b. [B]
c. [C]
d. [D]
36.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
37.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
38. Question:
a. [A]
b. [B]
c. [C]
d. [D]
39.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
40. Findthevalueofcscbyreferringtothegraphofthecosecantfunction.
a. 0
b. -1
c. 1
d. undefined
41.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
42. isanacuteangleofarighttriangle.Ifsinfindcos andtan .
a. cosandtan
b. cosandtan
c. cosandtan
d. cosandtan
43.
Determineifthefunctionisperiodic.Ifso,statetheperiod.
Answer:
Yes,thegraphrepeatsafterevery2units
a. yes;1
b. no
c. yes;2
d. yes;4
44.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
45.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
46.Statetheamplitudeforthefunctiony=- cos .
a. 1
b. -
c. -
d.
47.
Question:
a. [A]
b. [B]
c. [C]
d. [D]
48. Question:
a. [A]
b. [B]
c. [C]
d. [D]
49.
Whichofthefollowingisthesineof
a.
b.
c.
d.
50.Question:
Answer
Angularspeed=Linearspeed/radius=18/20=0.9rad/s
a. [A]
b. [B]
c. [C]
d. [D]
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