Solution :
The value of tan 120 degrees is \(-\sqrt{3}\).
Proof :
We Know that tan 60 = \(\sqrt{3}\).
By using formula of tan 2A,
tan 120 = \(2 tan 60\over 1 โ tan^2 60\) = \(2 \times \sqrt{3}\over 1 โ 3\)
\(\implies\)ย tan 120 = \(-\sqrt{3}\)
The value of tan 120 degrees is \(-\sqrt{3}\).
Proof :
We Know that tan 60 = \(\sqrt{3}\).
By using formula of tan 2A,
tan 120 = \(2 tan 60\over 1 โ tan^2 60\) = \(2 \times \sqrt{3}\over 1 โ 3\)
\(\implies\)ย tan 120 = \(-\sqrt{3}\)