Question

differentation of inverse trigonometry function tan-1(cotx)​

Answer 1

$y = { \tan}^{ - 1} ( \cot \: x) \\ \\y = { \tan}^{ - 1} ( \tan \:( \frac{\pi}{2} - x)) \\ y = \frac{\pi}{2} - x \\ \\ diff \\ \\ \frac{dy}{dx} = - 1$

hope it helps