If \( \cos \alpha+\cos \beta=0=\sin \alpha+\sin \beta \), then \( \cos 2 \alpha+\cos 2 \beta \) ...

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If \( \cos \alpha+\cos \beta=0=\sin \alpha+\sin \beta \), then \( \cos 2 \alpha+\cos 2 \beta \) is equal to
(1) \( -2 \sin (\alpha+\beta) \)
(2) \( -2 \cos (\alpha+\beta) \)
(3) \( 2 \sin (\alpha+\beta) \)
(4) \( 2 \cos (\alpha+\beta) \)
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