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Solution 4.4:2c

From Förberedande kurs i matematik 1

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

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

x=0+2nandx=+2n

where n is an arbitrary integer.


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

x=0+n

where n is an arbitrary integer.