Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The principal value of $\cot ^{-1}\left(\frac{-1}{\sqrt{3}}\right)$ is:

Options:

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

$\frac{\pi}{3}$

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

$\frac{5 \pi}{3}$

Correct Answer:

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

Explanation:

The correct answer is Option (3) → $\frac{2 \pi}{3}$

$\cot^{-1}\left(\frac{-1}{\sqrt{3}}\right)=π-\cot^{-1}\left(\frac{-1}{\sqrt{3}}\right)$

$=π-\frac{π}{3}=\frac{2π}{3}$