Answer
$$x=\frac{\pi }{6}+2\pi n,\:x=\frac{11\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n,\:x=\frac{7\pi }{6}+2\pi n$$
Work Step by Step
We solve the equation using the properties of trigonometric functions. Note, there is a general solution since trigonometric identities go up and down and this can pass through a given value of y many times. Solving this, we find:
$$\cos \left(x\right)=\frac{\sqrt{3}}{2},\:\cos \left(x\right)=-\frac{\sqrt{3}}{2} \\ x=\frac{\pi }{6}+2\pi n,\:x=\frac{11\pi }{6}+2\pi n,\:x=\frac{5\pi }{6}+2\pi n,\:x=\frac{7\pi }{6}+2\pi n$$
