Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The value of $\tan ^{-1}(-\sqrt{3})+\cos ^{-1}\left(-\frac{1}{2}\right)$ is:

Options:

$\frac{\pi}{3}$

$-\frac{\pi}{3}$

$\frac{2 \pi}{3}$

$\pi$

Correct Answer:

$\frac{\pi}{3}$

Explanation:

The correct answer is Option (1) → $\frac{\pi}{3}$

$\tan^{-1}(-\sqrt{3})+\cos^{-1}\left(-\frac{1}{2}\right)$

$=-\tan^{-1}(\sqrt{3})+π-\cos^{-1}\left(\frac{1}{2}\right)$

$=-\frac{π}{3}+π-\frac{π}{3}=\frac{π}{3}$