College Math Placement Test 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

Which identity is equivalent to sin²θ + cos²θ?

Accepted Answer

1

Answer

The Pythagorean identity states sin²θ + cos²θ = 1 for all angles θ.

Question 3

Convert 5π/6 radians to degrees.

Accepted Answer

150°

Answer

Multiply by 180/π: (5π/6) × (180/π) = 900/6 = 150°.

Question 4

A right triangle has legs of length 5 and 12. What is sin of the angle opposite the leg of length 5?

Accepted Answer

5/13

Answer

The hypotenuse is √(25+144)=13, so sin = opposite/hypotenuse = 5/13.

Question 5

What is the period of y = sin(2x)?

Accepted Answer

π

Answer

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

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