复数(根号2/1+i)的3204次方等于多少啊~
网友回答
√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
======以下答案可供参考======
供参考答案1:
平方你会算吧?算一下看看就知道了
供参考答案2:
-4的200此方i