Lösung 3.2:5a
Aus Online Mathematik Brückenkurs 2
The argument of a complex number is angle of the line between the origin and the number measured with respect the positive real number axis.
In this case, we see directly that \displaystyle -\text{1}0 has the argument \displaystyle \pi .
NOTE: All angles that correspond to the same direction differ by a whole number of turns, i.e. a multiple of
\displaystyle 2\pi , and therefore we could have just as well answered
\displaystyle -\pi ,
\displaystyle 3\pi ,
\displaystyle 5\pi
etc. However, it is usual to give the argument between
\displaystyle 0
and
\displaystyle 2\pi
or between
\displaystyle -\pi
and
\displaystyle \pi .
