Find the Fourier series of whose graph is an triangle with vertices at and is assumed to have a period . Show the details of your work. Sketch or graph the partial sums up to that including cos5x and sin 5x.

Mathematics by Geoffrey

 

  • Find the Fourier series of whose graph is an triangle with vertices at and is assumed to have a period . Show the details of your work. Sketch or graph the partial sums up to that including cos5x and sin 5x.

 

  • 2) Using Parseval’s identity, show that

 

  • Find the Fourier transform of

 

  • Show that if f(x) has a Fourier transform, so does f(x-a), and its Fourier transform is