Trigonometric Functions Practice Questions Ques2

Question: What is the degree measure of $\frac{5\pi}{6}$ radians?

Options:

(A) 120°

(B) 150°

(C) 135°

(D) 160°

Show Answer

Answer: B

Explanation:

(A) Incorrect. 120° is equivalent to $\frac{2\pi}{3}$ radians.

(B) Correct. To convert radians to degrees, we use the formula: degrees = radians × (180°/π). For $\frac{5\pi}{6}$, we get $\frac{5\pi}{6}$ × (180°/π) = 150°.

(C) Incorrect. 135° is equivalent to $\frac{3\pi}{4}$ radians.

(D) Incorrect. 160° is not equivalent to $\frac{5\pi}{6}$ radians.