Question

differentiate sin^-1(cos x)​

Answer 1

Answer:

Let y=sin^-1(cos x)

$\frac{dy}{dx} = \frac{1}{ \sqrt{1 - {cos}^{2} x} } ( - sin \: x) \\ \: \: \: \: \: \: \: \: \: = - \frac{sin \: x}{ \sqrt{1 - {cos}^{2} x} }$