Target Exam

CUET

Subject

Section B1

Chapter

Inverse Trigonometric Functions

Question:

The principal value of $\cos^{-1} \left( \cos \frac{13\pi}{6} \right)$ is

Options:

$\frac{13\pi}{6}$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{\pi}{6}$

Correct Answer:

$\frac{\pi}{6}$

Explanation:

The correct answer is Option (4) → $\frac{\pi}{6}$ ##

$\cos^{-1} \left( \cos \frac{13\pi}{6} \right) = \cos^{-1} \left( \cos \left( 2\pi + \frac{\pi}{6} \right) \right)$

$= \cos^{-1} \left( \cos \frac{\pi}{6} \right) = \frac{\pi}{6}$