The value of 31 3 is - Vidyadip

MCQ

The value of $\sin \frac{31}{3} \pi$ is

✓
$\frac{\sqrt{3}}{2}$
B
$\frac{1}{\sqrt{2}}$
C
$\frac{-\sqrt{3}}{2}$
D
$\frac{-1}{\sqrt{2}}$

✓

Answer

Correct option: A.

$\frac{\sqrt{3}}{2}$

(A)
$\sin \left(\frac{31}{3} \pi\right)=\sin \left(10 \pi+\frac{\pi}{3}\right)$
$=\sin \frac{\pi}{3}=\frac{\sqrt{3}}{2}$

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