1.

The real part of \[{{(1-i)}^{-i}}\]is [RPET 1999]

A. \[{{e}^{-\pi /4}}\cos \left( \frac{1}{2}\log 2 \right)\]
B. \[-{{e}^{-\pi /4}}\sin \left( \frac{1}{2}\log 2 \right)\]
C. \[{{e}^{\pi /4}}\cos \left( \frac{1}{2}\log 2 \right)\]
D. \[{{e}^{-\pi /4}}\sin \left( \frac{1}{2}\log 2 \right)\]
Answer» B. \[-{{e}^{-\pi /4}}\sin \left( \frac{1}{2}\log 2 \right)\]


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