If ( \theta=\frac{14\pi}{5} ), what is the principal coterminal angle of ( \theta-\pi )?

Question

Answer and explanation

Correct answer: ( \frac{9\pi}{5} )

( \theta-\pi=\frac{14\pi}{5}-\frac{5\pi}{5}=\frac{9\pi}{5} ), and it is in (0) to (2\pi). First subtract and then check the range.

What is the correct answer to this question?

( \frac{9\pi}{5} )

Why is this the correct answer?

( \theta-\pi=\frac{14\pi}{5}-\frac{5\pi}{5}=\frac{9\pi}{5} ), and it is in (0) to (2\pi). First subtract and then check the range.

Which subject and chapter does this question cover?

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