What is the principal positive angle between (0) and (2\pi) for (-\frac{31\pi}{6})?

Question

Answer and explanation

Correct answer: (\frac{5\pi}{6})

Adding (6\pi) to (-\frac{31\pi}{6}) gives (\frac{5\pi}{6}). In exams, add multiples of (2\pi) to negative angles.

What is the correct answer to this question?

(\frac{5\pi}{6})

Why is this the correct answer?

Adding (6\pi) to (-\frac{31\pi}{6}) gives (\frac{5\pi}{6}). In exams, add multiples of (2\pi) to negative angles.

Which subject and chapter does this question cover?

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