Mathematics, 24.01.2020 15:31, CateL1515

Why is 3tan^2θ - 1 = 0 equal to -pi/6 and pi over 6?
my first steps were to isolate the θ and i got + and - sqrt 3 / 3
looking on my unit circle i got four answers (pi//6),7pi/6), and (11pi/6)
however my textbook says that the answers are -pi/6 and pi over why?

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Why is 3tan^2θ - 1 = 0 equal to -pi/6 and pi over 6?
my first steps were to isolate the θ and...