Relatedly, Euler’s identity feels like witchcraft to me. e^(i * π) + 1 = 0??? Is this real life??? https://en.m.wikipedia.org/wiki/Euler's_identity
Wait'll you find out that not only are complex exponentials sinusoids, but complex sinusoids are exponentials too. Bidimensional numbers make some math trivial compared to real-value restricted inputs. Look up Cauchy, his name's everywhere in complex analysis