Don Romano (alt)Euler's formula is a bit of a mind-blower.
i² = -1 is the imaginary unit.
A complex number has two parts and is written a + bi, where a is real and b is imaginary. The imaginary axis is perpendicular to the real axis.
If you see them as vectors, multiplying two complex numbers adds their angles and multiplies their magnitudes. In other words, rotation and scaling.
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