# How do you verify the identity: sec x - cos x = sin x tan x?

$R = \sin x \cdot \tan x = \sin x \cdot \sin \frac{x}{\cos} x = {\sin}^{2} \frac{x}{\cos} x = \frac{1 - {\cos}^{2} x}{\cos} x = \frac{1}{\cos} x - \cos x = \sec x - \cos x = L$