Given that θ\thetaθ is a small angle measured in radians, approximate the function sin⁡3(θ)⋅sin⁡(2⋅θ)−3sin⁡(2⋅θ)⋅sin⁡2(4⋅θ)+sin⁡(12⋅θ)+θ⋅sin⁡(θ)sin⁡(2⋅θ),\frac{\sin^3(\theta)\cdot\sin(2\cdot\theta)-3\sin(2\cdot\theta)\cdot\sin^2(4\cdot\theta)+\sin\left(\frac{1}{2}\cdot\theta\right)+\theta\cdot\sin(\theta)}{\sin(2\cdot\theta)},sin(2⋅θ)sin3(θ)⋅sin(2⋅θ)−3sin(2⋅θ)⋅sin2(4⋅θ)+sin(21​⋅θ)+θ⋅sin(θ)​, expressing your answer in terms of θ\thetaθ in a simplified form.