Find the exact value of sin \frac{22 pi /3}

Question

Find the exact value of sin
`\frac{22 pi /3}`

Answer 1

Since
`\frac{22\pi}3\equiv\frac{4\pi}3\mod2\pi`, you have


`\sin\frac{22\pi}3=\sin\frac{4\pi}3=-\frac{\sqrt3}2`