Question

Simplify :$\sqrt{\frac{1-\cos 2x}{1+\cos 2x}}$

Answer 1

$\sqrt{\frac{1-\cos 2x}{1+\cos 2x}}$

$=\sqrt{\frac{2{\sin }^{2}x}{2{\cos }^{2}x}}$

$=\sqrt{{\tan }^{2}x}$

$=\tan x$