Consider the following periodic function whose fundamental period is T = 2 (sec). Calculate the Fourier coefficients ao.an, and bn of f(t), and write down the Fourier series expansion of f(t) up to n = 6: That is, writef (t)= a + =1(a cos nwot + bn sin nwot) where ao=ff(t) dt, an=f(t) cos nuot dt, and T/2 bn=72f(t) sin nwot dt. Note: 2 sin Asin B = cos(A - B)-cos(A + B). + f(t) sinnt HE 2 t (sec)