Question

How can I solve this?

`3tan^2x - 1 = 0`

Answer 1

`x = 30°` and `x = -30°`

Explanation:

Solve for `x`:
`3tan^2x -1 = 0`
`3tan^2x = 1`
`tan^2x = 1/3`
`tanx = +-1/(sqrt3)`
`x = tan^-1 (1/(sqrt3))` and `x = tan^-1 (-1/(sqrt3))`
`x = 30°` and `x = -30°`