I am having trouble with this problem;

$\displaystyle \frac {tanx}{1-cotx}+\frac{cotx}{1-tanx}=1+secxcscx$

I have tired multiplying each fraction by the other denominator and have got stuck. I then tried to multiple each fraction by the its conjugate to get the identity but then I get stuck that way also. Then I tried the right side and got a common denominator then didn't know where to go form there.

Thanks for the help. Its greatly appreciated.