What is the Value of Tan 120 Degrees ?

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 = \(2 tan 60\over 1 – tan^2 60\) = \(2 \times \sqrt{3}\over 1 – 3\)

\(\implies\)  tan 120 = \(-\sqrt{3}\)

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