Solving sin/cos equations?

Question

How would I solve for x:

3sin^2 x =cos^2 x

Answer 1

3 sin^2(x)  = cos^2(x)

Dividing by cos^2(x):

3 tan^2(x) = 1

tan(x) = +/- 1 / sqrt(3).

x = pi / 6, 5pi / 6, 7pi / 6, 11pi / 6 +/- 2n pi where n is any integer.