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Prove that: tan 4x = 4tan x(1 - tan^2 x)/(1 - 6tan^2 x + tan^4 x)

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Prove that: 

tan 4x = 4tan x(1 - tan2 x)/(1 - 6tan2 x + tan4 x)

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It is known that.

L.H.S. = tan 4x = tan 2(2x)

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