Lösung 3.2:5a

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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 .