The original equation is: " 1/1-cosx - 1/ 1+secx = csc^2x + cot^2x "

These are the steps i've used so far:

= 1/1-cosx (1+cosx/1+cosx) - 1/1+secx (1-secx/1-secx) ---multiply by the conjugate

= 1+cosz/sin^2x + 1-secx/tan^2x

Thats as far as i've been able to get.

Any help would be greatly appreciated!