tan x = ((2sqrt3)/3).sin x (sin x)/(cos x) = ((2sqrt3)/3).sin x sin x = ((2sqrt3)/3).sin x.cos x 3sin x - (2sqrt3cos x.sin x) = 0 sin x (3 - 2sqrt3.cos x) = 0
a. sin x = 0 --> x = 0; x = pi; and x = 2pi
b. 3 - (2sqrt3)cos x = 0 --> (2sqrt3cos x) = 3 cos x = 3/(2sqrt3) = sqrt3/2 --> x = +- pi/6