College Math Placement Test Trigonometry 4

Question 1

A 20-foot ladder leans against a wall at an angle of 60° with the ground. How high up the wall does the ladder reach?

Accepted Answer

10√3 ft

Answer

10 ft

Answer

20√3 ft

Answer

20/√3 ft

Question 2

What is the exact value of csc(30°)?

Accepted Answer

2

Answer

√2

Answer

√3

Answer

2√3/3

Question 3

Which of the following is true for all angles θ?

Accepted Answer

1 + tan²θ = sec²θ

Answer

1 + sin²θ = cos²θ

Answer

sin²θ − cos²θ = 1

Answer

tan²θ − sec²θ = 1

Question 4

What is the phase shift of y = sin(x − π/4)?

Accepted Answer

π/4 to the right

Answer

π/4 to the left

Answer

π/2 to the right

Answer

No phase shift

Question 5

In a right triangle, if one acute angle is θ, then the other acute angle is

Accepted Answer

90° − θ

Answer

180° − θ

Answer

θ − 90°

Answer

360° − θ

Question 6

What is the value of cos(2π)?

Accepted Answer

1

Answer

-1

Answer

0

Answer

√2/2

Question 7

If tan θ = −2 and θ is in Quadrant IV, what is sec θ?

Accepted Answer

√5

Answer

-√5

Answer

√5/2

Answer

-√5/2