List of top Mathematics Questions on Inverse Trigonometric Functions asked in AP EAPCET

If \[ \tan^{-1}\left(\frac{1}{2\sqrt2}\right) - \cos^{-1}\left(\frac{1}{\sqrt3}\right) + \sin^{-1}(x) = 0, \] then \(x=\)

Evaluate \[ \tan^{-1}\left(\frac12\right) +\tan^{-1}\left(\frac18\right) +\tan^{-1}\left(\frac1{18}\right) +\tan^{-1}\left(\frac1{32}\right). \]

The value of \[ \lim_{n\to \infty}\sum_{r=1}^{n}\cot^{-1}\left(r^2+\frac{3}{4}\right) \] is