Target Exam

CUET

Subject

Maths. Section B1

Chapter

Inverse Trigonometric Functions

Question:

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

Options:

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

$\frac{1}{x}$

tan x

none of these

Correct Answer:

$\frac{1}{x}$

Explanation:

The correct answer is Option 2: $\frac{1}{x}$

$\theta = \cot^{-1} x$

$\cot\theta = x$

$\tan\theta = \frac{1}{\cot\theta} = \frac{1}{x}$

$\tan(\cot^{-1} x) = \frac{1}{x}$

The value is $\frac{1}{x}$.