If \( \alpha=\cos \left(\frac{8 \pi}{11}\right)+i \sin \left(\frac{8 \pi}{11}\right) \), where \...
If \( \alpha=\cos \left(\frac{8 \pi}{11}\right)+i \sin \left(\frac{8 \pi}{11}\right) \), where \( i=\sqrt{-1} \), then \( \operatorname{Re}\left(\alpha+\alpha^{2}+\alpha^{3}+\alpha^{4}+\alpha^{5}\right) \) is
(a) \( \frac{1}{2} \)
(b) \( -\frac{1}{2} \)
(c) 0
(d) None of these
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