Question

Use a double-angle identity to find the exact value of sin 120° .

Answer 1

`(√(3))/(2)`

Explanation:

`\sin 2x=2\sin x \cos x \\ \\ \sin 120^(\circ)=2\sin 60^(\circ) \cos 60^(\circ) \\ \\ =2(√(3)/2)(1/2) \\ \\ =(√(3))/(2)`