Lösung 4.4:2c

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There are two angles in the unit circle, \displaystyle x=0 and \displaystyle x=\pi, whose sine has a value of zero.

We get the full solution when we add multiples of \displaystyle 2\pi,

Vorlage:Displayed math

where n is an arbitrary integer.


Note: Because the difference between \displaystyle 0 and \displaystyle \pi is a half turn, the solutions are repeated every half turn and they can be summarized in one expression,

Vorlage:Displayed math

where n is an arbitrary integer.