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{ }((\cos x)/(\sin x))/((1)/(\sin^2x))\text{ = }(\sin ^2x\cos x)/(\sin x)\text{ = sinxcosx} \\ \text{then} \\ \sin x\cos x=\text{ cosxsinx} \end{gathered}`