Question

Prove left hand side equals right hand side:

(sinx)/(1-cosx)=(1+cosx)/(sinx)

Answer 1

sinx/(1-cosx)

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