Solution 4.3:1c

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m (Lösning 4.3:1c moved to Solution 4.3:1c: Robot: moved page)
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{{NAVCONTENT_START}}
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The tangent value of the angle
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<center> [[Image:4_3_1_c.gif]] </center>
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<math>{2\pi }/{7}\;</math>
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is the gradient of the line which makes an angle
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<math>{2\pi }/{7}\;</math>
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with the
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<math>x</math>
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-axis.
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<center> [[Image:4_3_1c.gif]] </center>
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slope =
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{{NAVCONTENT_STOP}}
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<math>{\tan 2\pi }/{7}\;</math>
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FIGURE1 slope =
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<math>{\tan 2\pi }/{7}\;</math>
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FIGURE2
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From the figure, we see that the angle between
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<math>{\pi }/{2}\;</math>
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and
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<math>2\pi </math>
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which gives a line with the same slope as the angle
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<math>{2\pi }/{7}\;</math>
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is
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<math>{v=2\pi }/{7}\;+\pi ={9\pi }/{7}\;</math>
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.

Revision as of 12:07, 12 September 2008

The tangent value of the angle \displaystyle {2\pi }/{7}\; is the gradient of the line which makes an angle \displaystyle {2\pi }/{7}\; with the \displaystyle x -axis.

slope = \displaystyle {\tan 2\pi }/{7}\; FIGURE1 slope = \displaystyle {\tan 2\pi }/{7}\; FIGURE2

From the figure, we see that the angle between \displaystyle {\pi }/{2}\; and \displaystyle 2\pi which gives a line with the same slope as the angle \displaystyle {2\pi }/{7}\; is \displaystyle {v=2\pi }/{7}\;+\pi ={9\pi }/{7}\; .

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