Question

What is the value of $\sin \left(\frac{31\pi }{3}\right)$?

• A. $\frac{1}{2}$
• B. $0$
• C. $1$
• D. $\frac{\sqrt{3}}{2}$

Answer 1

Answer: (D)

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

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

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