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)