+129852 4 tan θ cos^2 θ = 3 tan θ subtract 3 tan θ from both sides
4tan θ cos^2 θ - 3 tan θ = 0 factor out tan θ
tan θ [ 4cos^2 θ - 3] = 0 set both factors to 0
tan θ = 0 and this happens at 0° and 180°
4cos^2 θ - 3 = 0 add 3 to both sides
4cos^2 θ = 3 divide both sides by 4
cos^2 θ = 3/4 take ± square roots of both sides
cos θ = ± sqrt(3)/2
And the angles that make these two values true are 30°, 150°, 210° and 330°
