It's just 2 cut off with 2 right?

Geometry Level 2

Mandy was learning trigonometric identities one day and erroneously decided that 2sin(θ2)=sinθ 2\sin\left(\frac\theta2\right)=\sin\theta was true for all θ\theta. What is the sum of all values of θ\theta in the interval [0,360][0^\circ,360^\circ] for which this equation is actually true?

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