If \( (\cos \theta+i \sin \theta)(\cos 2 \theta+i \sin 2 \theta) \ldots \) \( (\cos n \theta+i \...
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0If \( (\cos \theta+i \sin \theta)(\cos 2 \theta+i \sin 2 \theta) \ldots \)
\( (\cos n \theta+i \sin n \theta)=1 \), then the value of \( \theta \), is
(A) \( 4 m \pi \)
(B) \( \frac{2 m \pi}{n(n+1)} \)
(C) \( \frac{4 m \pi}{n(n+1)} \)
(D) \( \frac{m \pi}{n(n+1)} \)
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