Answer
See below.
Work Step by Step
$LHS=\frac{sin(u)/cos(u)-cos(u)/sin(u)}{sin(u)/cos(u)+cos(u)/sin(u)}+1=\frac{sin^2(u)-cos^2(u)}{sin^2(u)+cos^2(u)}+1=sin^2(u)-cos^2(u)+1=2sin^2(u)=RHS$
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