From Förberedande kurs i matematik 1

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-	{{NAVCONTENT_START}}	+	The angle <math>2\pi</math> corresponds to a whole revolution and therefore we see that if we draw in a line with angle <math>2\pi</math> relative to the positive ''x''-axis, we will get the positive ''x''-axis.
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		+	Because <math>\cos 2\pi</math> is the ''x''-coordinate for the point of intersection between the line with angle <math>2\pi</math> and the unit circle, we can see directly that <math>\cos 2\pi = 1\,</math>.

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Current revision

The angle \displaystyle 2\pi corresponds to a whole revolution and therefore we see that if we draw in a line with angle \displaystyle 2\pi relative to the positive x-axis, we will get the positive x-axis.

Because \displaystyle \cos 2\pi is the x-coordinate for the point of intersection between the line with angle \displaystyle 2\pi and the unit circle, we can see directly that \displaystyle \cos 2\pi = 1\,.