SOLUTION: Find one exact solution for tan^2(x) = 3.

Algebra ->  Trigonometry-basics -> SOLUTION: Find one exact solution for tan^2(x) = 3.      Log On


   



Question 460456: Find one exact solution for tan^2(x) = 3.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find one exact solution for tan^2(x) = 3.
--
tan(x) = sqrt(3)
--
In a 30-60 degree right triangle,
if the side opposite the 30 degree
angle is 1, the hypotenuse is 2,
and the side opposite the 60 degree
angle is sqrt(3)
---
tan(60) = opp/hyp = sqrt(3)
----
Your Problem:
Since tan(x) = sqrt(3), x = 60 degrees.
=============================================
Cheers,
Stan H.