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julia-pushkina [17]
3 years ago
7

Simplify the trigonometric expression tan(2x)/tan(x) using double-angle identities !!

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

 

\displaystyle\\\text{We use the formula: }~~~\tan(2x)=\frac{2\tan(x)}{1-\tan^2(x)}\\ ---\\\\\frac{\tan(2x)}{\tan(x)}=\frac{\dfrac{2\tan(x)}{1-\tan^2(x)}}{\tan(x)}=\frac{2\tan(x)}{\tan(x)\Big(1-\tan^2(x)\Big)}=\boxed{\frac{2}{1-\tan^2(x)}}\\\\\\ \text{Correct answer:~~A.}

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