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  4. The value of sin ((-11 π/3)) is (√3/m) . Value of ' m ' is

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

Trigonometric Functions

Solution:

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