# What is the simplified version of (2 - 2tanx)/(2 + 2tanx)?

Nov 10, 2016

$\implies \frac{1 - \tan x}{2} \times \frac{2}{1 + \tan x}$

$\implies \frac{1 - \tan x}{1 + \tan x}$

$\implies \frac{1 - \sin \frac{x}{\cos} x}{1 + \sin \frac{x}{\cos} x}$

$\implies \frac{\frac{\cos x - \sin x}{\cos} x}{\frac{\cos x + \sin x}{\cos} x}$

$\implies \frac{\cos x - \sin x}{\cos x + \sin x}$

Hopefully this helps!