CUET Mathematics 2022 10 Aug Shift 1 PYQs

$\sin^{-1}(\cos x) = \frac{\pi}{2} - x$ is valid for :

Let $a \leq \tan^{-1} x + \cot^{-1} x + \sin^{-1} x \leq b$. If $\alpha$ and $\beta$ denote the minimum and maximum possible values of a and b respectively, then :

The principal value of $\cot^{-1}\left(\frac{-1}{\sqrt{3}}\right)$ is :