<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%281-tan%5E%7B2%7Dx%29tan%282x%29%20%7D%7Btanx%7D" id="TexFormula1" title="\frac{(1-

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Gnesinka [82]

3 years ago

tan^{2}x)tan(2x) }{tanx}" alt="\frac{(1-tan^{2}x)tan(2x) }{tanx}" align="absmiddle" class="latex-formula"> simplify

Mathematics

1 answer:

Ierofanga [76]3 years ago

6 0

Step-by-step explanation:

$\frac{(1-tan^{2}x)tan(2x) }{tanx} \\ but \: \tan(2x) = \frac{2 \tan(x) }{1 - { \tan }^{2}x } \\ therefore : \\ = \frac{(1 - { \tan ^{2}x)(2 \tan(x)) }}{ (\tan(x) )(1 - { \tan ^{2}x })} \\ = \frac{2 \tan(x) }{ \tan(x) } \\ = 2$

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