# How did I not see that..

Level pending

Find the sum of all possible values of $$\theta \in [-\pi, \pi]$$ such that $\sin^3\left(\dfrac{1}{2}\theta\right) + \sin^3\left(\dfrac{1}{3}\theta\right) + \sin\left(\dfrac{1}{6}\theta\right) + \sin\left(\dfrac{1}{12}\theta\right) = 0$

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