College Math Placement Test Trigonometry 3

Question 1

What is the amplitude of y = −3 sin(x)?

Accepted Answer

3

Answer

Amplitude is the absolute value of the leading coefficient: |−3| = 3.

Question 2

What is the value of arcsin(−1)?

Accepted Answer

−π/2

Answer

arcsin(−1) = −π/2 because sin(−π/2) = −1 and −π/2 is in [−π/2, π/2].

Question 3

Simplify: (1 − cos²θ) / sin θ

Accepted Answer

sin θ

Answer

1 − cos²θ = sin²θ, so sin²θ / sin θ = sin θ.

Question 4

What is the reference angle for 240°?

Accepted Answer

60°

Answer

240° is in Quadrant III; reference angle = 240° − 180° = 60°.

Question 5

What is cos(π/3)?

Accepted Answer

1/2

Answer

π/3 = 60°, and cos 60° = 1/2.

College Math Placement Test Practice Test