I am going into Honors Algebra II and while I am fine at using imaginary numbers in a formulaic sense I never understood them conceptually. I can’t tell if they exist just to make math work better or because there is an actual logical way to understand them
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Imaginary numbers are just a way to express two dimensional number spaces. So for real numbers it’s just a number line, for imaginary numbers it’s a number plane.
Why not just use coordinates then? (X, Y) and such? Because imaginary numbers play well with trigonometric functions. Instead of having to define the relation of X and Y, and calculating X and Y separately, you can do two-dimensional calculations in one formula.
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