Answer
$cot^2u$
Work Step by Step
Use the identity:
$cos^2u+sin^2u=1~~$ (Divide both sides by $sin^2u$)
$\frac{cos^2u}{sin^2u}+\frac{sin^2u}{sin^2u}=\frac{1}{sin^2u}$
$cot^2u+1=csc^2u$
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