\( \left\{\frac{1+\cos \pi / 8+i \sin \pi / 8}{1+\cos \pi / 8-i \sin \pi / 8}\right\}^{8}= \) (A...

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\( \left\{\frac{1+\cos \pi / 8+i \sin \pi / 8}{1+\cos \pi / 8-i \sin \pi / 8}\right\}^{8}= \)
(A) \( 1+i \)
(B) \( 1-i \)
(C) 1
(D) \( -1 \)
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