# The gs of the equation tan7x-tan3x-tan4x=tan3x tan4x tan7x

Solution: We have, $\\ (3x+4x)=7x$

Taking tan both side we get ,

$\\\Rightarrow tan (3x+4x)=tan(7x)\\ \\\Rightarrow (tan3x+tan4x)/(1-tan3x\times tan4x)=tan7x\\ \\\Rightarrow tan3x+tan4x=tan7x-tan3x\times tan4x\times tan7x$

$\\ \Rightarrow tan7x-tan4x-tan3x=tan3x\times tan4x\times tan7x$

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