![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
Show that: tan ( 1/2 sin^-1 3/4) = (4-√7)/3. - Sarthaks eConnect | Largest Online Education Community
![Prove that Sin^(−1) (-1/2) + Cos^(-1) (-sqrt3/2) = Cos^(-1) (-1/2) - Mathematics and Statistics | Shaalaa.com Prove that Sin^(−1) (-1/2) + Cos^(-1) (-sqrt3/2) = Cos^(-1) (-1/2) - Mathematics and Statistics | Shaalaa.com](https://www.shaalaa.com/images/_4:99f6d041910c4276a802102e2354acac.png)