Applied Mathematics/Fourier Cosine Series

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Fourier cosine series[edit]

The series below is called Fourier cosine series.

f(x)=\frac{a_0}{2}+\sum_{n=1}^\infty a_n \cos \frac{n \pi x}{L}

where

a_n=\frac{2}{L}\int_{0}^{L}f(x) \cos \frac{n \pi x}{L}dx