The solution set of the equation 4 sin ⁡ θ cos ⁡ θ - 2 cos ⁡ θ - 2 3 sin ⁡ θ + 3 = 0 in the interval 0 , 2 π is

Step-by-step solution

4 sin ⁡ θ cos ⁡ θ - 2 cos ⁡ θ - 2 3 sin ⁡ θ + 3 = 0 2 cos ⁡ θ 2 sin ⁡ θ - 1 - 3 2 sin ⁡ θ - 1 = 0 2 cos ⁡ θ - 3 2 sin ⁡ θ - 1 = 0 ⇒ sin ⁡ θ = 1 2 , cos ⁡ θ = 3 2 θ = π 6 , 5 π 6 , 11 π 6