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in Complex Numbers by (50.9k points)
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Evaluate:

(i) \((i^{41}+\frac{1}{i^{71}})\)

(ii) \((i^{53}+\frac{1}{i^{53}})\)

1 Answer

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Best answer

 

Hence, \((i^{41}+\frac{1}{i^{71}})\) = 2i

Hence, \((i^{53}+\frac{1}{i^{53}})\) = 0

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