Abstract.Only sine or cosine trigonometric series have a wide range of applications in the natural sciences, the Fourier transform is to convert some functions to sine or cosine trigonometric series, Fourier series bring great convenience to our study, because the function convert only sine or cosine trigonometric series, the trigonometric series have good properties, it making the problem research is of great convenience. This article is how to transform the function into Fourier series only a sine or cosine trigonometric series, Fourier series.