Answer
See below.
Work Step by Step
$LHS=\frac{1-2sin^2\theta}{sin\theta cos\theta}=\frac{cos^2\theta-sin^2\theta}{sin\theta cos\theta}=\frac{cos\theta}{sin\theta}-\frac{sin\theta}{cos\theta}=cot\theta-tan\theta=RHS$
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