From Förberedande kurs i matematik 2

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-	{{NAVCONTENT_START}}	+	The argument of a complex number is the angle of the line between the origin and the number measured with respect the positive real number axis.
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-	{{NAVCONTENT_STOP}}	+	In this case, we see directly that <math>-10</math> has the argument <math>\pi</math>.
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		+	Note: All angles that correspond to the same direction differ by a whole number of turns, i.e. a multiple of <math>2\pi</math>, and therefore we could have just as well answered <math>-\pi</math>, <math>3\pi</math>, <math>5\pi</math> etc. However, it is usual to give the argument between <math>0</math> and <math>2\pi</math> or between <math>-\pi</math> and <math>\pi</math>.

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Current revision

The argument of a complex number is the 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 -10 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.