Question

Find the exact value of sin =" \frac{22 pi /3} " alt=" \frac{22 pi /3} " align="absmiddle" class="latex-formula">

Answer 1

Since $\dfrac{22\pi}3\equiv\dfrac{4\pi}3\mod2\pi$, you have

$\sin\dfrac{22\pi}3=\sin\dfrac{4\pi}3=-\dfrac{\sqrt3}2$