Question

The value of $\sin \left(\frac{-11\pi }{3}\right)$ is $\frac{\sqrt{3}}{m}.$ Value of ' $m$ ' is

• A. 1
• B. 2
• C. 3
• D. 5

Answer 1

Answer: (B)

$\sin \left(\frac{-11\pi }{3}\right)=-\sin \left(\frac{11\pi }{3}\right)=-\sin \left(4\pi -\frac{\pi }{3}\right)$
$=-\sin \left(2\pi \times 2-\frac{\pi }{3}\right)=-\left(-\sin \frac{\pi }{3}\right)=\sin \frac{\pi }{3}=\frac{\sqrt{3}}{2}$