Question

How do you solve `6tan^2x-2=0`?

Answer 1

`+- pi/3 + kpi`

Explanation:

`6tan^2 x - 2 = 0`
`tan^2 x = 2/6 = 1/3`
`tan x = +- 1/sqrt3 = +- sqrt3/3`
Trig table of special arcs and unit circle give:
a. `tan x = sqrt3/3` --> `x = pi/3 + kpi`
b. `tan x = - sqrt3/3` --> `x = - pi/3 + kp`