Cecil, W5DXP wrote:
"Here`s a quote from "Optics" by Hecht:
"Because bith phasors rotate together at a rate w, we can simply freeze
them at t=0 and not worry about their time dependence, which makes them
a lot easier to draw."

Raymond B. Yarbrough writes in the 5th ed. of "Electrical Engineering
Reference Manual" on page 1-1:
"A complex number can also be represented as a two-dimensional vector
in a complex plane. Thus, the complex number can be written in polar or
phasor form as

a+jb=c on an angle phi

c=square root of a squared + b squared

phi = arctan (b/a) "

On page 3-15 Yarborugh wrote:
In electric circuits involving sinusoids it is more convenient to deal
with RMS values of voltage and current rather than with peak values, and
with angles in degrees rather than with radians (Angles in the
exponential form must be in radians for mathematical calculations.)

Thus, an alternative representation, which is called the effective value
phasor notation has evolved."

Best regards, Richard Harrison, KB5WZI