Hi, I'm having some trouble verifying a trig equation using identities. here is the problem:

show that:

(tanx-cotx)/(sinxcosx) = sec^2(x) - csc^2(x)

i'm stuck, but I think the first thing I have to do is the pythagorean identity with tanx and cotx. is this right? if so what do i do next? (I'm working on left side of equation)