I'm having a little bit of trouble verifying 2 trig identities. One of these may not even be an identity but I don't know which one since I'm having trouble with both.

The first one is:

sin(x+y)/sin(x-y) = 1-tanxtany/1+tanxtany

And the second one is:

(sinx/1-cotx) - (cosx/tanx-1) = sinx+cosx

I get to a certain point on both of these and can't figure out where to go from there, any help in how to verify these would be GREATLY appreciated!!

Thanks!