Thanks, Michael, especially for the link to your blogpost. I just want to note a connection between the sine and cosine curves in the Cartesian plane versus a combination of them, Euler's Formula, eix = cos x + i sin x, in the complex (imaginary) plane, where it becomes a circle rather than a wave. You show in your blogpost a special case of Euler's Formula, often called Euler's Identity.
Euler's Formula is often called the most elegant equation in mathematics (link).
(Edited by Merlin Jetton on 9/28, 4:00am)
(Edited by Merlin Jetton on 9/29, 2:18am)