# Fourier development --- Introduction ---

Fourier development is a graphical exercise.

You see a curve describing a periodical function $f$ with period $2\pi$. Your task is to find the first terms of the Fourier series development of this function.

You can make several attempts to find these terms. For each attempt you will see the curve of your "development" $g$ together with $f$. You can modify your answer to make the curves as similar as possible. There is also the curve of remainder $f-g$, which allows you to see the errors.

Choose your type of development :

Attention. for the same order, the development in the form ${a}_{n}\mathrm{cos}\left(nx\right)+{b}_{n}\mathrm{sin}\left(nx\right)$ is more difficult to find than in the form amplitude and phase.

Choose level of difficulty:

Requested knowledge for this exercise: trigonometry, series, Fourier series.

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