Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Domain of $f(x)=\sin^{-1}(\cot^{-1}x)$ is

Options:

$[- \cot 1, \cot 1]$

$\left[\frac{π}{4},\frac{3π}{4}\right]$

$[0, \cot 1]$

none of these

Correct Answer:

none of these

Explanation:

$-1≤\cot^{-1}x≤1$

i.e. $0≤ \cot^{-1}x≤1$

⇒ $x≥ \cot 1$