NFourierSinCoefficient[expr, t, n] gives a numerical approximation to the n coefficient in the Fourier sine series expansion of expr, where expr is a periodic function of t with period 1.
To use NFourierSinCoefficient, you first need to load the Fourier Series Package using Needs["FourierSeries`"].
The numerical approximation to the n coefficient in the Fourier sine series expansion of expr is by default defined to be , where n must be an integer.
Different choices for the definition of the Fourier sine 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 NFourierSinCoefficient is .
The parameter b in the setting FourierParameters->{a, b} must be numeric.
In addition to the option FourierParameters, NFourierSinCoefficient can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.