Answer
$\frac{2\pi}{3}$
Work Step by Step
$\cos^{-1}{-\frac{1}{2}}=\frac{2\pi}{3}$, because $\cos{\frac{2\pi}{3}}=-\frac{1}{2}$ and $\frac{2\pi}{3}$ is in the range of $\cos^{-1}{x}$, which is $[0,\pi].$
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