In which interval does the principal coterminal angle of ( -\frac{23\pi}{10} ) lie?

( -\frac{23\pi}{10}+\frac{40\pi}{10}=\frac{17\pi}{10} ), which lies between ( \frac{3\pi}{2} ) and (2\pi). First find the principal angle.

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

Question

Answer and explanation

Correct answer: ( \frac{3\pi}{2}<\theta<2\pi )

( -\frac{23\pi}{10}+\frac{40\pi}{10}=\frac{17\pi}{10} ), which lies between ( \frac{3\pi}{2} ) and (2\pi). First find the principal angle.

What is the correct answer to this question?

( \frac{3\pi}{2}<\theta<2\pi )

Why is this the correct answer?

( -\frac{23\pi}{10}+\frac{40\pi}{10}=\frac{17\pi}{10} ), which lies between ( \frac{3\pi}{2} ) and (2\pi). 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.