Write in the simplest form: tan^-1 [ cos x/1+sin x], x[-π/2, π/2] - Sarthaks eConnect | Largest Online Education Community
![trigonometry - About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$ - Mathematics Stack Exchange trigonometry - About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$ - Mathematics Stack Exchange](https://i.stack.imgur.com/mvs0I.jpg)
trigonometry - About proof: $\cot^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)=\frac x2$ - Mathematics Stack Exchange
Find the derivative of the following functions:cosx/1+sinx - Sarthaks eConnect | Largest Online Education Community
![trigonometry - What is the derivative of $y=\sqrt{\frac {1- \sin(x)}{1+\sin( x)}}$ - Mathematics Stack Exchange trigonometry - What is the derivative of $y=\sqrt{\frac {1- \sin(x)}{1+\sin( x)}}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/G95tk.jpg)