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