How would I verify the following trig equation? $\frac{\sin(A)}{\sin(A) + \cos(A)}=\frac{\sec(A)}{\sec(A)+\cos(A)}$
My work so far is to write the RHS as $\frac{1/\cos(A)}{1/\cos(A) + \cos(A)}$
But I am not sure what I can do to prove the identity.