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Solution 4.3:1c

From Förberedande kurs i matematik 1

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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>
 +
.

Revision as of 12:07, 12 September 2008

The tangent value of the angle 27 is the gradient of the line which makes an angle 27 with the x -axis.

slope = tan27 FIGURE1 slope = tan27 FIGURE2

From the figure, we see that the angle between 2 and 2 which gives a line with the same slope as the angle 27 is v=27+=97 .

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