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

Gzim asked Apr 13, 2023

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Gzim asked Apr 13, 2023

by Gzim

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21 votes

Given the equation:

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

Using the Pythagorean identities

so,

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

so, the equation will be:

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

Grundic answered Apr 18, 2023

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