Solution 4.3:1c

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Current revision (13:06, 9 October 2008) (edit) (undo)
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The tangent value of the angle
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The tangent value of the angle <math>2\pi/7</math> is the slope of the line which makes an angle <math>2\pi/7</math> with the ''x'' -axis.
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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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[[Image:4_3_1_c.gif||center]]
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From the figure, we see that the angle between <math>\pi/2</math> and <math>2\pi</math> which gives a line with the same slope as the angle <math>2\pi/7</math> is <math>v = 2\pi/7 + \pi = 9\pi/7\,</math>.
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<center> [[Image:4_3_1_c.gif]] </center>
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slope =
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<math>{\tan 2\pi }/{7}\;</math>
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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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Current revision

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

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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