BUILT-IN MATHEMATICA SYMBOL

# FourierCosSeries

FourierCosSeries[expr, t, n]
gives the n-order Fourier cosine series expansion of expr in t.

FourierCosSeries[expr, {t1, t2, ...}, {n1, n2, ...}]
gives the multidimensional Fourier cosine series of expr.

## Details and OptionsDetails and Options

• The -order Fourier cosine series of is by default defined to be with and .
• The -dimensional Fourier cosine series of is given by with .
• The following options can be given:
•  Assumptions \$Assumptions assumptions on parameters FourierParameters {1,1} parameters to define Fourier cosine series GenerateConditions False whether to generate results that involve conditions on parameters
• Common settings for FourierParameters include:
•  {1,1} {1,2Pi} {a,b}
• The Fourier cosine series of is equivalent to the Fourier series of .

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Find the 5-order Fourier cosine series of :

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 Out[2]=

Find the -order Fourier cosine series:

 Out[1]=
 Out[2]=