Question

verify the identitycot x/ csc^2 x = cos x sin x

Answer 1

$\begin{gathered} \text{ }\frac{\cot \text{ x}}{\csc ^2x}\text{ = cos x sinx} \\ \text{ }\frac{\frac{\cos x}{\sin x}}{\frac{1}{\sin^2x}}\text{ = }\frac{\sin ^2x\cos x}{\sin x}\text{ = sinxcosx} \\ \text{then} \\ \sin x\cos x=\text{ cosxsinx} \end{gathered}$