List of top Mathematics Questions on Inverse Trigonometric Functions asked in UP Board XII

Find the principal value of \( \sin^{-1} \left( \sin \frac{7\pi}{4} \right) \).
The value of $\tan^{-1}(\sqrt{3}) - \cot^{-1}(-\sqrt{3})$ will be:
The value of $\tan^{-1}(\sqrt{3}) - \sec^{-1}(-2)$ will be:
Find the value of $\cos(\sec^{-1}x)$.
If $\sin^{-1}\left(\dfrac{1}{2}\right) = \tan^{-1}x$, find the value of $x$.