Verify the following identity:

Question

1-cosx/sinx=sinx/1+cosx

Answer 1

You must mean
(1-cosx)/sinx = sinx/(1+cosx)

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