How to find a negative value for cosine function?

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Can someone explain me how to find a negative value of a cosine function like how to find x if $$\cos x=-\sqrt3/2$$ I just don't understand how to do it? Please explain it to me

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Solve $\cos x=\frac{\sqrt 3}2$ and recall that $\cos(\pi-x)=-\cos x$.

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I always do this kind of problem from this drawing of the trigonometric circle:

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