Problems

Re^Ɵ, as a mathematical entity,  has no numerical counterpart
as such. It is polar notation, giving the address - the affix - of a point
on a vector field. R is the distance from 0 - the modulus - and Ɵ here refers
to the angle measure, also called the argument. In the same manner,
Re^iƟ is also polar notation, and defines a point on a complex plane, where
the y axis is in units of i, the square root of -1. (-1 is also a root). The complex
unit circle is orthnormal, with a radus of 1 and angle measures in radians
modulo 2pi.

It is not uncommon for two Re^ Ɵs to be added to each other; but an
Re^iƟ can multiply another point on the complex plane. The fields of
application are different.

On a vector field, one moves so many steps in one direction, so many in
another, cos then sin values. So, switching to Cartesian representation, (2, 5)
plus (2, 3) becomes (4, 8). On the unit circle, only some cos & sin combinations
are initially possible, and addition gives one a larger modulus. Below, a problem
for an Air Traffic Controller, who has two aircraft in the air:

https://printableworksheets.in/worksheet/polar-operations

I'm no electrical engineer, but can appreciate the below oscillating function.
t is the all-important time component, in seconds:

https://sites.math.washington.edu/~palmieri/Courses/2012/Math135/complex.pdf

                                                  *     *     *