DeMoivre's Theorem 2015

Algebra Level 4

z=(sinπ2015+icosπ2015)2015 ,(z)2015= ? \large \displaystyle z=\left(\sin\frac{\pi}{2015}+i\cos\frac{\pi}{2015}\right)^{2015}\ \qquad , \qquad (-z)^{2015} = \ ?

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