Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

$tan(cot^{-1}x)$ is equal to

Options:

$\frac{\pi}{2}-x$

$cot(tan^{-1}x)$

tan x

none of these

Correct Answer:

$cot(tan^{-1}x)$

Explanation:

We have 

$tan(cot^{-1}x)= tan \left(\frac{\pi}{2}-tan^{-1}x\right) = cot (tan^{-1}x)$