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Chapter 12 Test

Total questions: 13

Worksheet time: 3hrs 15mins

Name
Class
Date
1.

Find the value of tan θ.

a)

43\frac{4}{3}

b)

45\frac{4}{5}

c)

34\frac{3}{4}

d)

53\frac{5}{3}

2.

Which equation can be used to find x?

a)

cos60˚=4x\cos60˚=\frac{4}{x}

b)

sin60˚=4x\sin60˚=\frac{4}{x}

c)

tan60˚=4x\tan60˚=\frac{4}{x}

d)

cot60˚=4x\cot60˚=\frac{4}{x}

3.

Find P to the nearest degree.

a)

21°21\degree

b)

23°23\degree

c)

67°67\degree

d)

69°69\degree

4.

Rewrite  90°90\degree in radian measure.

a)

 π2\frac{\pi}{2} 

b)

 π90\frac{\pi}{90}  

c)

 π4\frac{\pi}{4}  

d)

 2π\frac{2}{\pi} 

5.

Rewrite π6\frac{\pi}{6} radians in degree measure.

a)

120˚

b)

30˚

c)

60˚

d)

50˚

6.
Which angle is coterminal with a 90˚ angle in standard position?
a)
540˚
b)
450˚
c)
-90˚
d)
270˚
7.
What is the reference angle for 150˚?
a)
150˚
b)
60˚
c)
–210˚
d)
30˚
8.

Find the exact value of sin 150˚.

a)

32-\frac{\sqrt{3}}{2}

b)

32\frac{\sqrt{3}}{2}

c)

12\frac{1}{2}

d)

12-\frac{1}{2}

9.

Determine the period of the function.

a)

2

b)

8

c)

3

d)

4

10.

Find the period of y=2cos23θy=2\cos\frac{2}{3}\theta 

a)

540°

b)

270°

c)

240°

d)

120°

11.

Find the phase shift of y=3+2cos(θ+90°)y=3+2\cos\left(\theta+90\degree\right) 

a)

2 units to the right

b)

3 units up

c)

90° to the right

d)

90° to the left

12.

Find the vertical shift of y=3cos(2θ+120°)4y=3\cos\left(2\theta+120\degree\right)-4 

a)

4 units down

b)

3 units down

c)

120° up

d)

60° down

13.

Find the midline for  y=4sin(3θ)+2y=4\sin\left(3\theta\right)+2  

a)

y = 4

b)

y = 3

c)

y = 2