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Solution 4.3:1a

From Förberedande kurs i matematik 1

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m (Lösning 4.3:1a moved to Solution 4.3:1a: Robot: moved page)
Line 1: Line 1:
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{{NAVCONTENT_START}}
+
If we draw the angle
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<center> [[Image:4_3_1_a.gif]] </center>
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<math>{\pi }/{5}\;</math>
 +
on a unit circle, then it will have an
 +
<math>x</math>
 +
-coordinate that is equal to
 +
<math>{\cos \pi }/{5}\;</math>
 +
.
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<center> [[Image:4_3_1a.gif]] </center>
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FIGURE 1 FIGURE 2
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{{NAVCONTENT_STOP}}
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the line
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<math>x={\cos \pi }/{5}\;</math
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the line
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<math>x={\cos \pi }/{5}\;</math>
 +
 
 +
 
 +
In the figures, we see also that the only other angle between
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<math>0</math>
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and
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<math>2\pi </math>
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which has the same cosine value, i.e. same
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<math>x</math>
 +
-coordinate, is the angle
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<math>v=-\frac{\pi }{5}+2\pi =\frac{9\pi }{5}</math>
 +
on the opposite side of the
 +
<math>x</math>
 +
-axis.

Revision as of 11:44, 12 September 2008

If we draw the angle 5 on a unit circle, then it will have an x -coordinate that is equal to cos5 .

FIGURE 1 FIGURE 2 the line x=cos5x=cos5


In the figures, we see also that the only other angle between 0 and 2 which has the same cosine value, i.e. same x -coordinate, is the angle v=−5+2=59 on the opposite side of the x -axis.

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