e.g., Arg(1 - i) =
, because the real and imaginary parts ofcorrespond to the power series ofand.
primary::roots unityThere are n numbers satifying. Why?Let's think in polar coordinates:. Then r =1 andfor k. We then havethere are n unique angles!
use limits to show this is true with the realization the derivative should be the same regardless of the direction you approach the point with.