Question

Derivative of sin x w.r.t. cos x is

• A. cos x
• B. cot x
• C. - cot x
• D. tan x

Answer 1

The correct option is C - cot x

Let $cosx=t$

than, $dt=-sinxdx...\left(1\right)$

let $y=sinx$

$dy=cosxdx...\left(2\right)$

then (2) $÷$ (1)

$\frac{dy}{dx}=\frac{cosxdx}{-sinxdx}=-cotx$