Find the value of \( \sin \frac{5\pi}{3} \)

\[ \sin \frac{5\pi}{3} = \sin \left(2\pi-\frac{\pi}{3}\right) \]

Using,

\[ \sin(2\pi-\theta)=-\sin\theta \]

\[ = -\sin\frac{\pi}{3} \]

\[ = -\frac{\sqrt3}{2} \]

Answer :

\[ \boxed{ \sin\frac{5\pi}{3}=-\frac{\sqrt3}{2} } \]