question 1

A function is defined over (0, 2) by f (1) = I 0

Afunction is defined over (0, 2) by We then extend it to an odd periodic function of period 4 -2 and its graph is displayed below. -4 o 05 -05 0 < x and 1 1 < x and < 2 2 4 6 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) and f(r) cos are odd functions, enter the value ot an in the box below , tor Hence the Fourier series made up entirely of sines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax.