问题描述： 复数(根号2/1+i)的3204次方等于多少啊~ 1个回答 分类：数学 2014-11-19 问题解答： 我来补答 √2 / (1+i) = √2(1-i) / 2 = √2/2 - √2/2 i = cos(π/4) - i sin(π/4) = cos(-π/4) + i sin(-π/4) = e^(-π/4i)所以[√2 / (1+i) ]^3204 = e^(-π/4i) ^ 3204 = e^(-801πi) = e^(-πi) = cos(-π) + isin(-π) = -1 展开全文阅读
