Trig proof with two angles and many functions

[stevensen]

Homework Statement

Prove:
cotAcotB=(cscB+cotA)/(tanAsecB+tanB)

Homework Equations

cotx=1/tanx, etc.
I tried using pythagorean identities, like 1+cot²x=csc²x, and others, but I've been unable to solve the problem.

The Attempt at a Solution

Please help me out. The examples in my textbook don't seem very useful here. I've tried everything I could think of.

 

[eumyang]

You need to show some work, but here's a big hint. Start from the right side. Convert everything in terms of sines and cosines. You'll have a complex fraction. Add the two fractions in the numerator, and then add the two fractions in the denominator. Take it from here.

 

[stevensen]

Thanks. I finally figured it out.