Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

insanepengguin135

  • 3 years ago

tan(x)=7cot(x)

  • This Question is Open
  1. insanepengguin135
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can someone please help, I'm trying to review for exams!

  2. LolWolf
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We are solving for \(x\), I imagine.

  3. insanepengguin135
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, yes.

  4. LolWolf
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    All right: \[ \begin{align} \tan(x)&=7\cot(x)\implies\\ \tan(x)\frac{1}{\cot(x)}&=7\implies\\ \tan^2(x)&=7\implies\\ \sqrt{\tan^2(x)}&=\sqrt{7}\implies\\ |\tan(x)|&=\sqrt{7}\implies\\ x&=\tan^{-1}(\pm\sqrt 7) \end{align} \]

  5. LolWolf
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The general solution is: \[ x=n\pi\pm\tan^{-1}(\sqrt{7}) \]Where \(n\in \mathbb{Z}\)

  6. insanepengguin135
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you! You're a lifesaver, really.

  7. LolWolf
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sure thing

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy