A function is defined over (0, 3) by f (20) = 5 2. We then extend it to an even periodic function of period 6 and its graph is displayed below. 27 1.5- y -5 5 10 15 X -0.5J The function may be approximated by the Fourier series f (20) = a0+ Zn= 1 (an cos ("[* ) nxx ) + bn sin nux where L is the half-period of the function. Use the fact that f(x) sin (-[) is an odd functions, enter the value of bn in the box below. on = BE, for n = 0, 1, 2, ... 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. an = a2k-1 = azk = for k = 1, 2