Question

Prove Tan x - 1/Tan x + 1 = 1 - cot x/1 + cot x

Answer 1

`(\tan x-1)/(\tan x+1)=((\sin x)/(\cos x)-1)/((\sin x)/(\cos x)+1)=(\sin x-\cos x)/(\sin x+\cos x)=(1-(\cos x)/(\sin x))/(1+(\cos x)/(\sin x))=(1-\cot x)/(1+\cot x)`