complex numbers written in general as
right
then the argument of z given by
since the argument is values so to find theta values take arctan ( ) for both sides you will have
the argument of z denoted by arg(z)
note:- argument of z have infinitely many values
the principle argument of z denoted by Arg(z) is the unique value of such that as you can see the principle argument take one value
you can say that
n integar number
Examples:-
Find the argument and the principle argument to the following:
y=1 and x=sqrt{3} so
the tan is negative in the second quarter and in the third quarter but the principle argument take the values in the interval
or to make it easier to determine the angle write it
so
to make it easier to determine the angle
I think it is clear now