4sin^2xtanx-tanx=0

Answer 1

4 sin²x tan x - tan x =0

(4 sin²x -1) tan x = 0

(2 sin x +1) (2 sin x -1) tan x = 0

2 sin x - 1 = 0 or 2 sin x +1 = 0 or tan x = 0

sin x = 1/2 or sin x = -1/2 or tan x = 0

You can check that the values that work in radians are π/6, 5π/6, 7π/6, 11π/6, 0 and π.