Using the formula, tan 2A = 2tanA/1-tan^2A' find the value of tan 60° , it being given that tan 30° = 1/√3 . ​

Question

Using the formula, tan 2A = \(\frac{2tanA}{1-tan^2A'}\) find the value of tan 60° , it being given that tan 30° = 1/√3 .

Answer 1

A = 30° 

⇒ 2A = 2 × 30° = 60°

By substituting the value of the given T-ratio, we get:

tan 2A =\(\frac{2tanA}{1-tan^2A'}\)

⇒ tan 60° = \(\frac{2tan30°}{1-tan^230°}\)

∴ tan 60° = √3