# 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 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 .

# Examples

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## Basic Examples(2)

Find the 5 -order Fourier cosine series of :

 In:= Out= In:= Out= Find the {2,2}-order Fourier cosine series:

 In:= Out= In:= Out= ## Options(1)

Introduced in 2008
(7.0)