Simplifying \frac{6\tan x }{1-\tan^2 x} to 3 \tan 2x

Ari Sheppard

Ari Sheppard

Answered question

2022-04-26

Simplifying 6tanx1tan2x to 3tan2x

Answer & Explanation

RormFrure6h1

RormFrure6h1

Beginner2022-04-27Added 13 answers

Simply note that the following identity holds
tan2x=2tanx1tan2x
which can be easily checked by the following
tan{2x}=sin{2x}cos{2x}
sin{2x}=2sinxcosx
cos{2x}=cos2{x}sin2{x}

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