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