Mathematics

Mathematics

Problem

Which of the following gives the correct expression for tan⁡3x\tan 3x in terms of tan⁡x\tan x? a) 3tan⁡x−tan⁡3x1+3tan⁡2x\dfrac{3\tan x-\tan^{3}x}{1+3\tan^{2}x} b) 3tan⁡x−tan⁡3x1−tan⁡2x\dfrac{3\tan x-\tan^{3}x}{1-\tan^{2}x} c) 3tan⁡x−tan⁡3x1−3tan⁡2x\dfrac{3\tan x-\tan^{3}x}{1-3\tan^{2}x} d) 3tan⁡x+tan⁡3x1−3tan⁡2x\dfrac{3\tan x+\tan^{3}x}{1-3\tan^{2}x}

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