Find the value of $\sin \frac{31 \pi}{3}$.
Find the value of $\sin \frac{31 \pi}{3}$.
We know that values of sin $x$ repeats after an interval of $2 \pi .$ Therefore
$\sin \frac{31 \pi}{3}$
$=\sin \left(10 \pi+\frac{\pi}{3}\right)$
$=\sin \frac{\pi}{3}$
$=\frac{\sqrt{3}}{2}$
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