How many cycles does the sine function, y = 3 sin θ, have in the interval from 0 to 2
a. 1 b. 2 c. 3 d. 4
Find the measure of the angle in standard position.
- 115°
- −155°
- 245°
- −245°
Identify the amplitude and period of this function: y = 5 sin 2θ.
?
____ 3.
a.
b.
c.
d. 5,
Describe the phase shift and determine the value of “h” in the translation; y = cos (x –
2, 2, 5,
____ 4.
d.
).
a.
b. c.
units to the left; h = − 1unittotheleft;h=−1
units to the right; h = units to the right; h =
____ 5.
Write this measure in degrees: 5 radians.
____ 6.
____ 7.
____ 8.
- 36°
- 900°
- 1800°
- 180°
Write this measure in degrees:
- 157.5°
- 315°
- 205.7°
- 70°
radians.
UseeithertheLawofSinesortheLawofCosines. In ,d=15in.,e=18in.,andf=10in.Findm .
a. b. c. d.
111.7° 56.3° 89.8° 24.5°
Find the exact sine value of −30° a.
b. c. d.
− −
____ 9.
Find the period of this function:
a. 2 b. 4 c. 6 d. 8
The period of a periodic function is 2.5 s. How many cycles does it go through in 20 s?
____ 10.
a.
- 2 cycles
- 50 cycles
- 8 cycles
cycle
____ 11.
Verify this identity: sin θ csc θ = 1.
____ 12.
____ 13.
Describe the translation in y = cos (x – 3) + 2.
- left 3 units; up 2 units
- right 3 units; down 2 units
- left 3 units; down 2 units
- right 3 units; up 2 units
Identify the graph of this function from 0 to 2 a.
b.
c.
d.
: y = 2 cos x.
a.
b.
c.
d. 0=0
cos θ • = 1 •=1
sin θ • = 1
____ 14.
____ 15.
____ 16.
____ 17.
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