Difference between revisions of "2007 UNCO Math Contest II Problems/Problem 8"
(Created page with "== Problem == A regular decagon <math>P_1P_2P_3\cdots P_{10}</math> is drawn in the coordinate plane with <math>P_1</math> at <math>(2,0)</math> and <math>P_6</math> at <math>(8...") |
Mathisfun04 (talk | contribs) (→Solution) |
||
| Line 20: | Line 20: | ||
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See Also == | == See Also == | ||
Revision as of 19:56, 5 December 2016
Problem
A regular decagon 
is drawn
in the coordinate plane with 
at 
and 
at 
. If 
denotes the point
, compute the numerical value of
the following product of complex numbers:
where 
as usual.
![[asy] draw(polygon(10),dot); draw((-2,0)--(2,0),black); draw((-5/3,-2)--(-5/3,2),black); MP("P_1",(-1,0),NW);MP("(2,0)",(-.9,0),SW); MP("P_6",(1,0),NE);MP("(8,0)",(.9,0),SE); [/asy]](http://latex.artofproblemsolving.com/a/c/d/acd58d961876928535be1ba8fa362bc000ac8b1c.png)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2007 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
