问题标题:
复数计算(1-根号3i)^10-(1+根号3i)^10=?
问题描述:
复数计算(1-根号3i)^10-(1+根号3i)^10=?
储炬回答:
解析:(1-根号3i)^10=2^10×(1/2-根号3/2×i)^10=2^10×[cos(-π/3)+sin(-π/3)×i]^10=2^10×[cos(-10π/3)+sin(-10π/3)×i]=2^10×[cos(2π/3)+sin(2π/3)×i]=2^10×(-1/2+根号3/2×i)而(1+根号3i)^1...
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