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# The period of a periodic function is 2.5 s. How many cycles does it go through in 20 s? page2image1826688

How many cycles does the sine function, = 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.

1. 115°
2. −155°
3. 245°
4. −245°

Identify the amplitude and period of this function: = 5 sin 2θ.
?

____ 3.

a.
b.
c.
d. 5,
Describe the phase shift and determine the value of “h” in the translation; = cos (
2, 2, 5,

____ 4.
d.
).
a.
b. c.
units to the left; = − 1unittotheleft;h=−1
units to the right; = units to the right; =

____ 5.
Write this measure in degrees: 5 radians.

____ 6.
____ 7.
____ 8.

1. 36°
2. 900°
3. 1800°
4. 180°

Write this measure in degrees:

1. 157.5°
2. 315°
3. 205.7°
4. 70°

UseeithertheLawofSinesortheLawofCosines. In ,d=15in.,e=18in.,andf=10in.Find.

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.

1. 2 cycles
2. 50 cycles
3. 8 cycles

cycle
____ 11.
Verify this identity: sin θ csc θ = 1.

____ 12.
____ 13.
Describe the translation in = cos (– 3) + 2.

1. left 3 units; up 2 units
2. right 3 units; down 2 units
3. left 3 units; down 2 units
4. right 3 units; up 2 units

Identify the graph of this function from 0 to 2 a.
b.
c.
d.
= 2 cos x.
a.
b.
c.
d. 0=0
cos θ • = 1 •=1

sin θ • = 1

____ 14.
____ 15.
____ 16.
____ 17.