Solution 4.2:2f

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
(Ny sida: {{NAVCONTENT_START}} <center> Bild:4_2_2f.gif </center> {{NAVCONTENT_STOP}})
Current revision (07:36, 9 October 2008) (edit) (undo)
m
 
(4 intermediate revisions not shown.)
Line 1: Line 1:
-
{{NAVCONTENT_START}}
+
Because the triangle is isosceles (two sides have the same length), it can be divided up into two right-angled triangles of the same size by introducing a side which divides the angle ''v'' in half.
-
<center> [[Bild:4_2_2f.gif]] </center>
+
 
-
{{NAVCONTENT_STOP}}
+
[[Image:4_2_2_f.gif|center]]
 +
 
 +
If we look at one of the triangles, we can set up the trigonometrical relation
 +
 
 +
{{Displayed math||<math>\sin\frac{v}{2} = \frac{1}{3}\,,</math>}}
 +
 
 +
which is an equation for ''v''.

Current revision

Because the triangle is isosceles (two sides have the same length), it can be divided up into two right-angled triangles of the same size by introducing a side which divides the angle v in half.

If we look at one of the triangles, we can set up the trigonometrical relation

\displaystyle \sin\frac{v}{2} = \frac{1}{3}\,,

which is an equation for v.