The general solution of $2\cos x-1=0$ is

The correct option is C $2n\pi \pm \frac{\pi }{3}$
Given $2\cos x-1=0$

$⟹2\cos x=1$

$⟹\cos x=\frac{1}{2}$

$⟹\cos x=\cos \frac{\pi }{3}$

$⟹x=2n\pi \pm \frac{\pi }{3}$