Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The value of $cos^{-1}(cos\frac{7\pi}{6})$ is :

Options:

$\frac{7\pi }{6}$

$\frac{5\pi }{6}$

$\frac{\pi }{6}$

$\frac{\pi }{3}$

Correct Answer:

$\frac{5\pi }{6}$

Explanation:

The correct answer is Option (2) → $\frac{5\pi }{6}$

$\cos^{-1}(\cos\frac{7\pi}{6})=\cos^{-1}(-\cos\frac{\pi}{6})$

$=π-\frac{π}{6}=\frac{5π}{6}$