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[" Illustration "4.3" Solve "tan x+tan2x...

[" Illustration "4.3" Solve "tan x+tan2x+tan3x=tan x tan2x],[tan3x,x in[0,pi]]

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tan x+tan2x+tan3x=0

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tanx + tan2x + tan3x = tanx tan2x tan3x

Solve : tanx+tan2x+tan3x=0

tan3x-tan2x-tan x=tan3x tan2x tan x

tanx + tan2x + tan3x=0