What is the principal coterminal angle of ( -\frac{49\pi}{12} ) between (0) and (2\pi)?

Question

Answer and explanation

Correct answer: ( \frac{11\pi}{12} )

( -\frac{49\pi}{12}+\frac{60\pi}{12}=\frac{11\pi}{12} ). Add enough multiples of (2\pi) to a negative radian angle.

What is the correct answer to this question?

( \frac{11\pi}{12} )

Why is this the correct answer?

( -\frac{49\pi}{12}+\frac{60\pi}{12}=\frac{11\pi}{12} ). Add enough multiples of (2\pi) to a negative radian angle.

Which subject and chapter does this question cover?

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