Question

Hi,

could you please provide a clear and detailed worked solution for the following problem. Please only answer if you are 100% sure you can answer the question correctly and have neat hand writing that is easy to read. I will leave feedback that reflects the quality and completness of your answer.

Thank you

A periodio function f (t) is defined on its peniool oy the formula - sin t 2 2 present tme funchan by the Fourner señes using ne Present first four terms of the Fourier series together winn tme aveoge value in tre explicit form.

Answer 1

clearhy f(t) is even function the fourier series is where , (t) cos 2nt dt au -| 2 sin t cos 2nt dt [32 cos 2nt sint dt 7M[sin(2n+1)-sin(2n-1):Ja 2-cos (2n+1)t cos(2n-1)t 2 2n +1 2n-1 지2n +1 272-1 the fourier series is 4 cos 2nt 2-4o 2-404-4 4 15π 35π 63π