Answer
$\left\{\dfrac{\pi}{3}, \dfrac{5\pi}{3}\right\}$
Work Step by Step
$1-\cos\theta=0.5$
$1-0.5=\cos{\theta}$
$0.5=\cos\theta$
Since $0\le\theta\lt2\pi$, then
$\theta=\dfrac{1}{3}\pi$
$\theta=\dfrac{5}{3}\pi$
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