Answer
$$x=\frac{\pi }{3}+2\pi n,\:x=\frac{2\pi }{3}+2\pi n$$
Work Step by Step
Solving for a general solution to the equation, we find:
$$\sin \left(x\right)=\frac{\sqrt{3}}{2} \\ x=\frac{\pi }{3}+2\pi n,\:x=\frac{2\pi }{3}+2\pi n$$
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