Question

Solve tan2x = sqrt3/3

Answer 1

tan(2x)=sqrt3
or, 2tanx/(1-tan^2(x)) = sqrt(3)
or, 2tanx = sqrt(3) -sqrt(3) tan^2(x)
or, sqrt(3) tan^2(x) +2tan(x) -sqrt(3) =0
or, tanx = -sqrt(3), 1/sqrt(3)
if tanx = -sqrt3 , x= 2pi/3
if tanx = 1/sqrt3 x= pi/6

Source: http://answers.yahoo.com/question/index?qid=20100819024801AA2XG0k