\( \sin \alpha+\sin 2 \alpha+\sin 4 \alpha+\sin 5 \alpha= \) (a) \( 4 \cos \frac{\alpha}{2} \cos...

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\( \sin \alpha+\sin 2 \alpha+\sin 4 \alpha+\sin 5 \alpha= \)
(a) \( 4 \cos \frac{\alpha}{2} \cos \frac{3 \alpha}{2} \sin 3 \alpha \)
(b) 0
(c) 1
(d) \( 2 \cos \frac{\alpha}{2} \cos \frac{3 \alpha}{2} \sin 3 \alpha \)
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