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CUET
-- Mathematics - Section B1
Relations and Functions
Domain of $f(x)=\sin^{-1}(\cot^{-1}x)$ is
$[- \cot 1, \cot 1]$
$\left[\frac{π}{4},\frac{3π}{4}\right]$
$[0, \cot 1]$
none of these
$-1≤\cot^{-1}x≤1$
i.e. $0≤ \cot^{-1}x≤1$
⇒ $x≥ \cot 1$