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 = \(\sqrt{3}\over 2\)

Leave a Comment

Your email address will not be published.