College Math Placement Test Trigonometry 5

Question 1

What is the domain of y = arccos(x)?

Accepted Answer

[−1, 1]

Answer

(−∞, ∞)

Answer

[0, π]

Answer

[−π/2, π/2]

Question 2

Simplify: sin θ / cos θ + cos θ / sin θ

Accepted Answer

All of the above

Answer

1/(sin θ cos θ)

Answer

tan θ + cot θ

Answer

2/(sin 2θ)

Question 3

What is the Law of Cosines used to find?

Accepted Answer

A side or angle in any triangle

Answer

Only angles in right triangles

Answer

Only the hypotenuse

Answer

Only area of a triangle

Question 4

What is the exact value of sin(7π/6)?

Accepted Answer

-1/2

Answer

1/2

Answer

-√3/2

Answer

√3/2

Question 5

The graph of y = cos(x) is shifted 2 units upward. What is the new range?

Accepted Answer

[1, 3]

Answer

[-1, 1]

Answer

[-3, -1]

Answer

[0, 2]

Question 6

Which value satisfies sin θ = cos θ for 0 ≤ θ < 2π?

Accepted Answer

π/4 and 5π/4

Answer

π/4 only

Answer

π/2 and 3π/2

Answer

0 and π

Question 7

What is the area of a triangle with sides a = 6, b = 8, and included angle C = 30°?

Accepted Answer

12

Answer

24

Answer

6√3

Answer

48