# How do you prove sin (2x) = 2sin(x)cos(x) using other trigonometric identities?

$\sin \left(2 x\right) = S \in \left(x + x\right)$
$\sin \left(2 x\right) = \sin x \cos x + \sin x \cos x$-----$\left(\sin \left(A + B\right) = \sin A \cos B + \cos A \sin B\right)$
$\sin \left(2 x\right) = 2 \sin x \cos x$