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

A value of $tan^{-1}\left[sin\left(cos^{-1}\left(\sqrt{\frac{2}{3}}\right)\right)\right]$ is
The largest interval lying in $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ for which the function $f \left(x\right)=4^{-x^2}+cos^{-1}\left(\frac{x}{2}-1\right)+log\left(cos\,x\right)$ is defined, is
If $sin^{-1}\left(\frac{x}{5}\right)+cos\,ec^{-1}\left(\frac{5}{4}\right)=\frac{\pi}{2} $ then a value of $x$ is
The trigonometric equation $sin^{-1} x = 2\, sin^{-1}$ a, has a solution for