Answer
$\left\{\dfrac{7}{6}\pi, \dfrac{11}{6}\pi\right\}$
Work Step by Step
$2\sin\theta+3=2$
$2\sin\theta=-1$
$\sin\theta=-0.5$
Since $0\le\theta\lt2\pi$, then
$\theta=\dfrac{7}{6}\pi$
$\theta=\dfrac{11}{6}\pi$
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