" If "tan x+tan(x+(pi)/(3))+tan(x+(2 pi)/(3))=3," prove that "(3tan x-tan^(3)x)/(1-3tan^(2)x)=1

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If tan x+tan(x+(pi)/(3))+tan(x+(2 pi)/(3))=3 then prove that (3tan x-tan^(3)x)/(1-3tan^(2)x)=1

Prove that tan 3x=(3tanx-tan^3x)/(1-3tan^2x)

tan x tan((pi)/(3)-x)tan((pi)/(3)+x)=tan3x

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tan x*tan(x+(pi)/(3))*tan(x+(2 pi)/(3))=sqrt(3)

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tan x+ tan(x+(pi)/(3))+ tan(x+(2pi)/(3))=3impliestan 3 x=

Period of tan x tan((2 pi)/(3)-x)tan((2 pi)/(3)+x) is