Question

If tan x = 1/\(\sqrt{3}\), then tan2x =_________________

(a) 1

(b) \(\sqrt{3}\)

(c) 1/\(\sqrt{3}\)

(d) 0

This question was posed to me in homework.

I'd like to ask this question from Trigonometric Functions of Sum and Difference of Two Angles-2 in portion Trigonometric Functions of Mathematics – Class 11

Answer 1

The correct choice is (b) \(\sqrt{3}\)

For explanation: We know, sin 2x = (2 tan x) / (1 – tan^2x)

tan 2x = (2*1/\(\sqrt{3}\)) / (1-1/3) = (2*3)/2*\(\sqrt{3}\) = \(\sqrt{3}\).