Understanding Fourier Series: Solving a Tricky Question with Step-by-Step Guide

AI Thread Summary
The discussion revolves around a user seeking assistance with part 3 of a Fourier series question after successfully completing part 2. Another participant suggests that sharing the results from exercise 2 could aid in solving part 3. The original poster mentions having a 1/n^2 term in their Fourier series, indicating a potentially correct approach. The conversation emphasizes the importance of choosing an appropriate value for x to progress further. The thread highlights collaborative problem-solving in understanding Fourier series concepts.
VooDoo
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hey guys,

I got this question that I am a bit stuck on. I have done question two and got the Fourier series, but have no idea how to do part 3. Any help is very appreciated.
http://img453.imageshack.us/img453/5103/file2yp2.jpg
 
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What did you get for exercise 2? That will probably be quite useful information for solving 3!
 
Hi, I got the following for my Fourier series. I have a 1/n^2 term in there which looks good.
http://img392.imageshack.us/img392/5124/11111je7.jpg
 
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Choose an appropriate x.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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