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A function is defined over (0, 4) by f ( 20 ) = 2 0

A function is defined over (0, 4) by We then extend it to an odd periodic function of period 8 and its graph is displayed below. The function may be approximated by the Fourier series 0 < and a: < 2 2 < and < 4 10 + bn sin n=l an cos where L is the half-period of the function. Use the fact that f(c) and f(c) cos are odd functions, enter the val e of an in the box below. an tCj, for n Hence the Fourier series made up entirely of sines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax.