It's just 2 cut off with 2 right?

Geometry Level 2

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

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