Question

Prove that sin x/1-cos x=cosec x+cot x

Answer 1

cosecx+cotx=1/sinx+cosx/sinx=(1+cosx)/sinx
=(1+cosx)(1-cosx)/sinx(1-cosx)
=1-cos^2x/sinx(1-cosx)
=sin^2x/sinx(1-cosx)
=sinx/1-cosx
=LHS