Question

3tan^2x=1 solve for x?

Answer 1

The trigonometric equation 3 tan² x = 1

tan²x = 1/3

tan²x = (1/√3)²

tan²x = tan²(π/6)

The general solution of tan²(x) = tan²(α) is x = nπ ± α, where n is an integer.

α = π/6

Solutions are x = nπ ± π/6 , where n is an integer.