Consider the tangent of a triple angle.

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Consider the tangent of a triple angle. (i) Derive an expression for

\tan 3x

solely in terms of

\tan x

. (ii) Using the result from part (i), solve the equation

\tan 3x = \sqrt{3}

for all

x

in the interval

0 < x < \pi