List of top Mathematics Questions on Inverse Trigonometric Functions asked in MET

If \(\theta = \sin^{-1}x + \cos^{-1}x - \tan^{-1}x\), \(1 \le x < \infty\), then the smallest interval in which \(\theta\) lies is

If \(\tan(\sec^{-1}x) = \sin\left(\cos^{-1}\frac{1}{\sqrt{5}}\right)\), then \(x\) is equal to

$2 \tan^-1(\csc \tan^-1x - \tan \cot^-1x)$ is equal to