Question

How do you prove that `(1-cosx)/sinx = sinx/(1+cosx)`?

Answer 1

Start from the Trig Identity "1 - cos^2 x = sin^2 x".
(1 - cos^2 x) = sin^2 x
(1 - cos x)(1 + cos x) = sin xsin x
Divide both sides by (sin x)(1 + cos x)
(1 - cos x)/sinx = sin x/(1 + cos x)