Trigonometric Functions

Q. If cos(θ) = 0.5, what is the value of θ in degrees?

Solution

cos(30°) = 0.5, so θ = 30°

Correct Answer: A — 30°

Q. If sin(θ) = 0.8, what is cos(θ) using the Pythagorean identity?

Solution

Using sin²(θ) + cos²(θ) = 1, cos(θ) = √(1 - 0.8²) = √(0.36) = 0.6

Correct Answer: A — 0.6

Q. If sin(θ) = 1/√2, what is the value of θ in degrees?

Solution

sin(45°) = 1/√2, so θ = 45°

Correct Answer: B — 45°

Q. If tan(θ) = 1, what is the value of θ in degrees?

Solution

tan(45°) = 1, so θ = 45°

Correct Answer: C — 45°

Q. What is the value of cos(0°)?

Solution

cos(0°) = 1

Correct Answer: C — 1

Q. What is the value of sin(30°)?

Solution

sin(30°) = 0.5

Correct Answer: B — 0.5

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