If ( \theta=\frac{31\pi}{8} ), what is its reference angle?

Question

Answer and explanation

Correct answer: ( \frac{\pi}{8} )

( \frac{31\pi}{8}-\frac{16\pi}{8}=\frac{15\pi}{8} ) and the reference angle is (2\pi-\frac{15\pi}{8}=\frac{\pi}{8}). First find the principal angle.

What is the correct answer to this question?

( \frac{\pi}{8} )

Why is this the correct answer?

( \frac{31\pi}{8}-\frac{16\pi}{8}=\frac{15\pi}{8} ) and the reference angle is (2\pi-\frac{15\pi}{8}=\frac{\pi}{8}). First find the principal angle.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.