Solution 4.2:3b

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Current revision (07:48, 9 October 2008) (edit) (undo)
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The angle
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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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<math>\text{2}\pi </math>
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corresponds to a whole revolution and therefore we see that if we draw in a line with angle
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<math>\text{2}\pi </math>
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relative to the positive
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<math>x</math>
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-axis, we will get the positive
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<math>x</math>
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-axis.
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[[Image:4_2_3_b.gif|center]]
[[Image:4_2_3_b.gif|center]]
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Because
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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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<math>\cos \text{2}\pi </math>
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is the
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<math>x</math>
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-coordinate for the point of intersection between the line with angle
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<math>\text{2}\pi </math>
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and the unit circle, we can see directly that
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<math>\cos \text{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\,.

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