Cos and sin

Geometry Level 4

Given

\(\cos A+\cos B+\cos C=0\) and

\(\sin A+\sin B+\sin C=0\).

Then,
\(\cos 2A+\cos 2B+\cos 2C=x\) and \(\sin 2A+\sin 2B+\sin 2C=y\).

Find \(x+y\).

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