I’ve heard this is “the most beautiful and useful equation in all of math. I’ve watched videos, but still don’t understand what it does.
In: 10
Rather than think of points on the XY plane as being comprised of separate x and y values, think of those points as being comprised of some length r and some degree of rotation. If you consider a point as referencing some degree of rotation, you’ll be able to relate the trigonometric functions (sin, cos) to that point and the XY plane overall.
Then it simply becomes letting the Y-axis represent the imaginary component of some complex number and the Y-value representing the magnitude of that imaginary component.
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