Domain of $f(x)=\sin^{-1}(\cot^{-1}x)$ is
Answer & explanation
Correct answer: option 4
$-1≤\cot^{-1}x≤1$
i.e. $0≤ \cot^{-1}x≤1$
⇒ $x≥ \cot 1$
Domain of $f(x)=\sin^{-1}(\cot^{-1}x)$ is
Correct answer: option 4
$-1≤\cot^{-1}x≤1$
i.e. $0≤ \cot^{-1}x≤1$
⇒ $x≥ \cot 1$