Question

How do I solve this problem?By using the pythagorean identities.

Answer 1

Given the equation:

`\sin ^2x(\csc ^2x-1)`

Using the Pythagorean identities

so,

`\csc ^2x-1=\cot ^2x`

so, the equation will be:

`\begin{gathered} \sin ^2x\cdot\cot ^2x \\ \\ =\sin ^2x\cdot(\cos ^2x)/(\sin ^2x) \\ \\ =\cos ^2x \end{gathered}`