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Which of the following gives the correct expression for in terms of ?
MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem Which of the following gives the correct expression for tan 3 x \tan 3x tan 3 x in terms of tan x \tan x tan x ?
(a) 3 tan x − tan 3 x 1 + 3 tan 2 x \dfrac{3\tan x-\tan^{3}x}{1+3\tan^{2}x} 1 + 3 tan 2 x 3 tan x − tan 3 x
(b) 3 tan x − tan 3 x 1 − tan 2 x \dfrac{3\tan x-\tan^{3}x}{1-\tan^{2}x} 1 − tan 2 x 3 tan x − tan 3 x
(c) 3 tan x − tan 3 x 1 − 3 tan 2 x \dfrac{3\tan x-\tan^{3}x}{1-3\tan^{2}x} 1 − 3 tan 2 x 3 tan x − tan 3 x
(d) 3 tan x + tan 3 x 1 − 3 tan 2 x \dfrac{3\tan x+\tan^{3}x}{1-3\tan^{2}x} 1 − 3 tan 2 x 3 tan x + tan 3 x
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