# How do you prove the identity cot(x)+sec(x)=(cos(x)+tan(x))/sin(x)?

$\cot x + \sec x = \cos \frac{x}{\sin} x + \frac{1}{\cos} x = \cos \frac{x}{\sin} x + \sin \frac{x}{\sin x \cos x} = \frac{\cos x + \tan x}{\sin} x$