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Math Help - Solving for Tan^2(x)= value

  1. #1
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    Solving for Tan^2(x)= value

    What is the method to solve for x in an equation such as Tan^2(x) = 2 or Tan^2(x)=5/2?
    All help much appreciated!
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  2. #2
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    Crna Gora
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    Re: Solving for Tan^2(x)= value

    Quote Originally Posted by ILoveTriangles View Post
    What is the method to solve for x in an equation such as Tan^2(x) = 2 or Tan^2(x)=5/2?
    All help much appreciated!
    \tan^2(x)=a

    \tan(x)=\pm \sqrt a

    x_{1,2}=n\cdot \pi \pm \arctan(\sqrt a) ~\text{where}\ n \in \mathbb{Z}
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