question 1

A function is defined over (0, 2) by We then extend it to an even periodic function of period 4 -4 -2 and its graph is displayed below. -6 2 15 05 -05 2 4 6 8 The function may be approximated by the Fourier series an cos where L is the halt-period ot the tunctiom use the tact that f(x) sin is an odd functions, enter the value ot bn in the box below. tor n Hence besides the constant term, the Fourier series made up entirely of cosines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax. 1.25 a2k-1 = a2k tor k =