This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# FourierCosCoefficient

 FourierCosCoefficient gives the n coefficient in the Fourier cosine series expansion of expr. FourierCosCoefficientgives a multidimensional Fourier cosine coefficient.
• The coefficient in the Fourier cosine series expansion of is by default given by .
• The -dimensional Fourier cosine coefficient is given by .
• The following options can be given:
 Assumptions \$Assumptions assumptions on parameters FourierParameters {1,1} parameters to define Fourier series GenerateConditions False whether to generate results that involve conditions on parameters
• The function expr is assumed to be periodic in t with period , except when otherwise specified by FourierParameters.
 {1,1} default settings {1,2Pi} period 1 {a,b} general setting
Find the 5 Fourier cosine coefficient:
Find the general term coefficient:
Plot the sequence:
Find the Fourier cosine coefficient:
Find the coefficient of the general term:
Plot the multivariate sequence:
Find the 5 Fourier cosine coefficient:
 Out[1]=
Find the general term coefficient:
 Out[2]=
Plot the sequence:
 Out[3]=

Find the Fourier cosine coefficient:
 Out[1]=
Find the coefficient of the general term:
 Out[2]=
Plot the multivariate sequence:
 Out[3]=
 Scope   (4)
Find the 6 Fourier cosine coefficient for a quadratic polynomial:
General Fourier cosine coefficient for a piecewise function:
Fourier cosine coefficient for a Gaussian function:
Fourier cosine coefficient for a basis function:
 Options   (1)
Use a nondefault setting for FourierParameters:
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