FOURIER SERIES PACKAGE SYMBOL

# NFourierCosCoefficient

gives a numerical approximation to the n coefficient in the Fourier cosine series expansion of expr, where expr is a periodic function of t with period .

## DetailsDetails

• To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
• The numerical approximation to the n coefficient in the Fourier cosine series expansion of expr is by default defined to be NIntegrate[expr Cos[n t], {t, 0, }].
• Different choices for the definition of the Fourier cosine series expansion can be specified using the option FourierParameters.
• With the setting FourierParameters->{a, b}, expr is assumed to have a period of , and the n coefficient computed by is NIntegrate[expr Cos[b n t], {t, 0, }].
• The parameter b in the setting FourierParameters->{a, b} must be numeric.
• In addition to the option FourierParameters, can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

Use different definitions to calculate numerical approximations for a Fourier cosine coefficient:

 Out[2]=
 Out[3]=

Compare with the answer from symbolic evaluation:

 Out[4]=
 Out[5]=
 Out[6]=

## TutorialsTutorials

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