![Differentiate W.R.T. X the Function `Cot^(-1) [(Sqrt(1+Sinx) + Sqrt(1 -sinx))/(Sqrt(1+Sinx) - Sqrt(1-sinx))]`, ` 0 < X < Pi/2` - Mathematics | Shaalaa.com Differentiate W.R.T. X the Function `Cot^(-1) [(Sqrt(1+Sinx) + Sqrt(1 -sinx))/(Sqrt(1+Sinx) - Sqrt(1-sinx))]`, ` 0 < X < Pi/2` - Mathematics | Shaalaa.com](https://www.shaalaa.com/images/_4:3d6fbaa9f602492da04749a3a7500598.png)
Differentiate W.R.T. X the Function `Cot^(-1) [(Sqrt(1+Sinx) + Sqrt(1 -sinx))/(Sqrt(1+Sinx) - Sqrt(1-sinx))]`, ` 0 < X < Pi/2` - Mathematics | Shaalaa.com
![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 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)
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
![I am getting - /3 Q Principal value of cot 1 -13 is equal to - Maths - Inverse Trigonometric Functions - 12668905 | Meritnation.com I am getting - /3 Q Principal value of cot 1 -13 is equal to - Maths - Inverse Trigonometric Functions - 12668905 | Meritnation.com](https://s3mn.mnimgs.com/img/shared/content_ck_images/ck_5b02985dd8089.png)
I am getting - /3 Q Principal value of cot 1 -13 is equal to - Maths - Inverse Trigonometric Functions - 12668905 | Meritnation.com
![if a b c 0 prove that cot 1 ab 1 a b cot 1 bc 1 b c cot 1 ca 1 c a pi - Mathematics - TopperLearning.com | eoro6euu if a b c 0 prove that cot 1 ab 1 a b cot 1 bc 1 b c cot 1 ca 1 c a pi - Mathematics - TopperLearning.com | eoro6euu](https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=edcaceac7f73a2286e72c6ba409025f0.png&d=0)