Interesting. Looking at the Euler equation again as Argand plane rotation, would e^-ix be a form of clockwise rotation? Using the methodology of: https://www.

Interesting. Looking at the Euler equation again as Argand plane rotation, would e^-ix be a form of clockwise rotation? Using the methodology of: https://www.mathsisfun.com/algebra/eulers-formula.html https://www.mathsisfun.com/algebra/eulers-formula.html as a reference template, e^-ix would seem to involve: (taylor cosine series) - i * (taylor sine series) or e^-ix = cos x - i sin x = -1 which suggests another twist to the familiar identity: e^ix * e^-ix = (cos x + i sin x) * (cos x - i sin x) = (cos x)^2 + (sin x)^2 = (-1) ^ 2 = 1 = e^0