MPT Trigonometry 2

Question 1

What is the exact value of tan(135°)?

Accepted Answer

-1

Answer

tan(135°) = tan(180° - 45°) = -tan(45°) = -1.

Question 2

If sec(θ) = 2, what is cos(θ)?

Accepted Answer

1/2

Answer

sec(θ) = 1/cos(θ), so cos(θ) = 1/sec(θ) = 1/2.

Question 3

Convert 5π/6 radians to degrees.

Accepted Answer

150°

Answer

5π/6 × (180°/π) = 5 × 30° = 150°.

Question 4

Which identity is equivalent to sin²(θ) + cos²(θ)?

Accepted Answer

1

Answer

The Pythagorean identity states sin²(θ) + cos²(θ) = 1 for all θ.

Question 5

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

Accepted Answer

2π/3

Answer

The period of y = sin(bx) is 2π/b = 2π/3.

(MPT) UCF Math Placement Test Practice Test