Mathematics

Mathematics

Problem

Within 0≤x<2π0\le x<2\pi, the equation tan⁡3x=tan⁡x\tan 3x = \tan x is solved. If only those solutions satisfying sin⁡x≠0\sin x \neq 0 are kept, how many such solutions remain? a) 44 b) 66 c) 22 d) 33

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