Question

How do you solve `3tan^2x-1=0`?

Answer 1

`pi/4 + kpi`
`(3pi)/4 + kpi`

Explanation:

`3tan^2 x - 1 = 0`
`tan^2 x = 1` --> `tan x = +- 1`
a. tan x = 1
Trig table and unit circle give -->
`x = pi/4 + kpi`
b. tan x = - 1
`x = (3pi)/4 + kpi`