If ( \theta=\frac{5\pi}{4} ), what is the principal angle of ( -\theta ) between (0) and (2\pi)?

Question

Answer and explanation

Correct answer: ( \frac{3\pi}{4} )

( -\theta=-\frac{5\pi}{4} ), and ( -\frac{5\pi}{4}+2\pi=\frac{3\pi}{4} ). Add (2\pi) to a negative angle.

What is the correct answer to this question?

( \frac{3\pi}{4} )

Why is this the correct answer?

( -\theta=-\frac{5\pi}{4} ), and ( -\frac{5\pi}{4}+2\pi=\frac{3\pi}{4} ). Add (2\pi) to a negative angle.

Which subject and chapter does this question cover?

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