Solution 4.3:1c

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-axis.
-axis.
-
slope =
+
 
-
<math>{\tan 2\pi }/{7}\;</math>
+
 
-
FIGURE1 slope =
+
<center> [[Image:4_3_1_c.gif]] </center>
 +
 
 +
slope =
<math>{\tan 2\pi }/{7}\;</math>
<math>{\tan 2\pi }/{7}\;</math>
-
FIGURE2
 
From the figure, we see that the angle between
From the figure, we see that the angle between
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<math>{2\pi }/{7}\;</math>
<math>{2\pi }/{7}\;</math>
is
is
-
<math>{v=2\pi }/{7}\;+\pi ={9\pi }/{7}\;</math>
+
<math>{v=2\pi }/{7}\;+\pi ={9\pi }/{7}\;</math>.
-
.
+

Revision as of 10:19, 29 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.


Image:4_3_1_c.gif

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

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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