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 = $\sqrt{3}\over 2$