Question

I don't understand what to do after i convert everything into cos and sin.

Verify:
cosx(tanx+cotx)=cscx

Answer 1

what you want to do is to show that using standard identities and algebraic manipulation, the left side can be made equal to the right side.

cosx(tanx+cotx)

change to sin,cos using trig identities
cosx(sinx/cosx + cosx/sinx)

now do some algebra
cosx*sinx/cosx + cosx*cosx/sinx
sinx + cos^2(x)/sinx
sinx*sinx/sinx + cos^2(x)/sinx
(sin^2(x) + cos^2(x))/sinx

now apply standard trig identities
1/sinx
cscx

ta-da!