Answer
$cot^2x(sin^2x)=cos^2x$
Work Step by Step
$cot~x=\frac{cos~x}{sin~x}$
$cot^2x(sin^2x)=(\frac{cos~x}{sin~x})^2(sin^2x)=\frac{cos^2~x}{sin^2~x}(sin^2x)=cos^2x$
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