InterviewSolution
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InterviewSolution
| 1. |
Prove that `z=i^i ,w h e r ei=sqrt(-1)`, is purely real. |
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Answer» `z = i^(i) = (cos.(pi)/(2) + i sin .(pi)/(2))^(i) = (e^(ipi//2))^(i) = e^(-(pi)/(2))` `rArr Re(z) = e^(-(pi)/(2))` |
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