# Thread: Solving for Tan^2(x)= value

1. ## 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!

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

Originally Posted by ILoveTriangles
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!
$\tan^2(x)=a$

$\tan(x)=\pm \sqrt a$

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