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

Write \( \cot^{-1}\left\{\frac{1}{\sqrt{x^2-1}}\right\}; x>1 \) in the simplest form.
The value of \( \tan^{-1}\sqrt{3} - \sec^{-1}(-2) \) is :
Find the principal value of \( \sec^{-1}(-\sqrt{2}) \).