If 2 sin ⁡ θ + π 3 = cos ⁡ θ - π 6 , then tan ⁡ θ =

Step-by-step solution

2 ( sin θ × 1 2 + cos θ × 3 2 ) = cos θ × 3 2 + sin θ × 1 2 2 sin θ + 2 3 cos θ = 3 cos θ + sin θ sin θ = − 3 cos θ tan θ = − 3