- #1

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would anyone be able to explain how to evaluate a function using orthogonality (i.e. using orthogonality to solve a definite integration problem with sines/cosines)?

Thank you

- Thread starter Hendrick
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- #1

- 43

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would anyone be able to explain how to evaluate a function using orthogonality (i.e. using orthogonality to solve a definite integration problem with sines/cosines)?

Thank you

- #2

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http://mathworld.wolfram.com/FourierSeries.html

- #3

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http://en.wikipedia.org/wiki/Orthogonal#Orthogonal_functions

- #4

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http://mathworld.wolfram.com/FourierSeries.html

And in particular look at Eqns (8) and (9) for solving for the coefficients in a Fourier series. Also look at (18) and (19). The sine-like and cosine-like terms are orthogonal, as proved by integrating their product over the interval 0 to 2 pi.

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