I need help verifying this problem algebraically: (sin x + cos X)/(csc x + sec x) = sin x cos x

1. Convert the cosec and sec into sin and cos. What gives:

\frac{sin\ x + cos\ x}{csc\ x + sec\ x} = \frac{sin\ x + cos\ x}{\frac{1}{sin\ x} + \frac{1}{cos\ x}}

2. Combine the fractions in the denominator, and something sill cancel out.

Can you continue now?