Question

How do you prove `(csc x - cot x)^2 = (1 - cos x)/(1+cosx)`?

Answer 1

Prove trig expression

Explanation:

`[1/(sin x) - cos x/(sin x)]^2 = (1 - cos x)^2/sin^2 x =`
`= (1 - cos x)^2/(1 - cos^2 x) = (1 - cos x)^2/((1 - cos x)(1 + cos x))` =
`= (1 - cos x)/(1 + cos x)`