Answer
$cos^2x+cos^2x~cot^2x=cot^2x$
Work Step by Step
$1+cot^2x=csc^2x=\frac{1}{sin^2x}$
$cos^2x+cos^2x~cot^2x=cos^2x(1+cot^2x)=cos^2x~csc^2x=cos^2x\frac{1}{sin^2x}=cot^2x$
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