What's the exact value of cos 75°? Question 1 options:

A)

B)

C)

D)

Question 2 (5 points)
What's a radian?
Question 2 options:

A)

The distance halfway around a circle

B)

The ratio between a circle's diameter and its radius

C)

An angle made at the center of a circle by an arc whose length is equal to the radius of the circle

D)

The ratio between a circle's circumference and its radius
Question 3 (5 points)
image

Determine the value of x.
Question 3 options:

A)

54.45

B)

16.32

C)

17.51

D)

35.54
Question 4 (5 points)
image

Which of the following is a correct tangent ratio for the figure?
Question 4 options:

A)

tan(11°) = 15∕39

B)

tan(11°) = 39∕15

C)

tan(39°) = 11∕15

D)

tan(39°) = 15∕11

Question 5 (5 points)
image

Using the unit circle, determine the value of tan(120°).
Question 5 options:

A)

B)

–

C)

D)

Question 6 (5 points)
Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?

Question 6 options:

A)

x = 0 and x =4π∕3

B)

x = 4π∕3 and x = –4π∕3

C)

x = 0 and x = 2π∕3

D)

x = 2π∕3 and x = –2π∕3

Question 7 (5 points)
image

Determine the value of x using a trigonometric ratio.
Question 7 options:

A)

4.18 units

B)

4.98 units

C)

10.11 units

D)

8.49 units
Question 8 (5 points)
image

Write the equation of the sinusoidal function shown.
Question 8 options:

A)

y = cos(3x) + 2

B)

y = cos x + 2

C)

y = sin x + 2

D)

y = sin(3x) + 2
Question 9 (5 points)
image

Using the unit circle, determine the value of cos(–150°).
Question 9 options:

A)

B)

C)

D)

Question 10 (5 points)
Reflecting y = – 3 sin x across the x-axis results in a function with equation
Question 10 options:

A)

y = – 3 sin (x – π).

B)

y = 3 sin x.

C)

y = – sin x.

D)

y = – 3 sin (x + π).
Question 11 (5 points)
image

Determine the value of x.
Question 11 options:

A)

44.78

B)

0.02

C)

3.22

D)

70.57
Question 12 (5 points)
Using the unit circle, determine the value of sin 450°.
Question 12 options:

A)

1∕2

B)

–1

C)

0

D)

1
Question 13 (5 points)
Which of the following graphs represents the function y = 2 cos(x – π∕2) – 1?

Question 13 options:

A)

image

B)

image

C)

image

D)

image
Question 14 (5 points)
Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.

Question 14 options:

A)

–13∕5

B)

13∕5

C)

5∕13

D)

–5∕13
Question 15 (5 points)

Evaluate the expression.

Question 15 options:

A)

–tan π∕56

B)

–tan 17π∕56

C)

tan π∕56

D)

tan 17π∕56
Question 16 (5 points)
image

Using the unit circle, determine the value of cos(945°).
Question 16 options:

A)

B)

C)

D)

Question 17 (5 points)
Find the equation of the midline of the function y = 2 sin(1∕4x) – 3.

Question 17 options:

A)

y = –3

B)

y = 3

C)

y = 2

D)

y = 1∕4
Question 18 (5 points)
For an angle to be in standard position, its vertex is at the origin and the initial side lies on the
Question 18 options:

A)

negative x-axis.

B)

negative x-axis.

C)

positive x-axis.

D)

positive y-axis.
Question 19 (5 points)
image

Determine the measure of ∠Z.
Question 19 options:

A)

48.24°

B)

87.71°

C)

41.76°

D)

13.29°
Question 20 (5 points)
Which of the following are maximum and minimum points of the function y = sin(x + π)?
Question 20 options:

A)

Minimum: (π∕4, 1); Maximum: (5π∕4, –1)

B)

Maximum: (π∕2, – 1); Minimum: (3π∕2, 1)

C)

Minimum: (π∕4, – 1); Maximum: (5π∕4, 1)

D)

Maximum: (π∕2, 1); Minimum: (3π∕2, –1)