List of top Mathematics Questions on Inverse Trigonometric Functions asked in CBSE CLASS XII

\[ \sec^{-1} \left( -\sqrt{2} \right) - \tan^{-1} \left( \frac{1}{\sqrt{3}} \right) \] is equal to:
Find the domain of the function $f(x) = \sin^{-1}(-x^2)$.
Find the domain of \( \sin^{-1}(x^2 - 3) \).
Find the domain of \( \sec^{-1}(2x + 1) \).