数学
Z=ln(-i)的实部,虚部,模,和辐角,在线等答案.

2019-05-28

Z=ln(-i)的实部,虚部,模,和辐角,在线等答案.
优质解答
由欧拉公式:-i=cos(3π/2+2kπ)+isin(3π/2+2kπ)=e^((3π/2+2kπ)i)
所以z=ln(-i)=ln(e^((3π/2+2kπ)i))=(3π/2+2kπ)i
所以z的虚部(3π/2+2kπ)i,|z|=3π/2+2kπ, 幅角π/2
由欧拉公式:-i=cos(3π/2+2kπ)+isin(3π/2+2kπ)=e^((3π/2+2kπ)i)
所以z=ln(-i)=ln(e^((3π/2+2kπ)i))=(3π/2+2kπ)i
所以z的虚部(3π/2+2kπ)i,|z|=3π/2+2kπ, 幅角π/2
相关问答