A machine its cycle of operations every time as firm pulley completes a revolution. The displacement f(x) of a point on a certain portion of the machine is given in the table given below for six positions of the pulley, x being the angle turned through by the pulley. Find the Fourier series to represent f(x) for all values of x. (CLO-2) x in degrees 60 120 180 240 300 360 f(x) 7.129 4.495 1.215 0.141 1.199 5.985

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