I am trying to find the complex roots of: exp(4z)=i.
However I am confused as how to calculate tan-1(1/0) to find the argument.
Any help would be much appreciated. Thanks
I am trying to find the complex roots of: exp(4z)=i.
However I am confused as how to calculate tan-1(1/0) to find the argument.
Any help would be much appreciated. Thanks
Two suggestions:
So let $z=x+iy$. Then you have $4z=4x+i4y$. Then $e^{4z}=e^{4x+i4y}=e^{4x}\Bigl[i\sin{4y} + \cos{4y}\Bigr]$
Since this is you want $e^{4x}\cos{4y}=0$ and $e^{4x}\sin{4y}=1$.