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If tan x = 1/\(\sqrt{3}\), then tan2x =_________________(a) 1(b) \(\sqrt{3}\)(c) 1/\(\sqrt{3}\)(d) 0This 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»

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*\(\sqrt{3}\) = \(\sqrt{3}\).



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