# What is the Value of Sin 120 Degrees ?

## Solution :

The value of sin 120 degrees is $$\sqrt{3}\over 2$$.

Proof :

We Know that sin 60 = $$\sqrt{3}\over 2$$ and cos 60 = $$1\over 2$$

By using the formula of sin 2A,

sin 120 = 2 sin 60 cos 60 = 2 $$\times$$ $$\sqrt{3}\over 2$$ $$\times$$ $$1\over 2$$

$$\implies$$  sin 120 = $$\sqrt{3}\over 2$$