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

A function is defined over (0,4) by 1 2 0 We then extend it to an odd periodic function of period 8 and its graph is displayed below. 2 1 -1 -2 The function may be approximated by the Fourier series where L is the half-period of the function. 0 < and < 2 2 < a: and a: < 4 5 x + bn sin 10 (L Use the fact that f(z) and f(x) cos are odd functions, enter the value of an in the box below an , for Hence the Fourier series made up entirely of sines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax. 2/PiA2 b3