Hey guys!

I'm stuck on a proof:

$\displaystyle \frac{sin x}{1-cot x}-\frac{cos x}{tan x - 1} = sin x + cos x$

I hate to be the kind of person who just dumps a problem on a forum without any work done, but proofs are kind of a special thing. It's like either you know where to start, or you don't.

In this case, I don't!

Thanks for any help.