Find all the values of x in the interval [0, 2pi] such that tan^2(x) = 3.

Answer 1

tan^2 x = 3
tan x = ±√3

we know tan 60° = √3

so x = 60° , 120° , 240° or 300°
or in radians
x = π/3, 2π/3, 4π/3, or 5π/3