Question

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

• A. $\frac{\sqrt{3}}{2}$
• B. $-\frac{\sqrt{3}}{2}$
• C. $-\frac{1}{\sqrt{2}}$
• D. $\frac{1}{\sqrt{2}}$

Answer 1

Answer: (A)

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