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insanepengguin135
 3 years ago
tan(x)=7cot(x)
insanepengguin135
 3 years ago
tan(x)=7cot(x)

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insanepengguin135
 3 years ago
Best ResponseYou've already chosen the best response.0Can someone please help, I'm trying to review for exams!

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.0We are solving for \(x\), I imagine.

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.0All right: \[ \begin{align} \tan(x)&=7\cot(x)\implies\\ \tan(x)\frac{1}{\cot(x)}&=7\implies\\ \tan^2(x)&=7\implies\\ \sqrt{\tan^2(x)}&=\sqrt{7}\implies\\ \tan(x)&=\sqrt{7}\implies\\ x&=\tan^{1}(\pm\sqrt 7) \end{align} \]

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.0The general solution is: \[ x=n\pi\pm\tan^{1}(\sqrt{7}) \]Where \(n\in \mathbb{Z}\)

insanepengguin135
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you! You're a lifesaver, really.
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