Question
The value of $\cot^{-1}\left[\frac{\sqrt{1 - \sin x} + \sqrt{1 + \sin x}}{\sqrt{1 - \sin x} - \sqrt{1 + \sin x}}\right]$ where $x \in \left(0, \frac{\pi}{4}\right)$ is
The value of $\cot^{-1}\left[\frac{\sqrt{1 - \sin x} + \sqrt{1 + \sin x}}{\sqrt{1 - \sin x} - \sqrt{1 + \sin x}}\right]$ where $x \in \left(0, \frac{\pi}{4}\right)$ is