Question: Q2. Given Fourier series f(x) = = = 2% + (an cos + bn sin. . P P Derive the formulas for the coefficients

Q2. Given Fourier series f(x) = = = 2% + (an cos

Q2. Given Fourier series f(x) = = = 2% + (an cos + bn sin. . P P Derive the formulas for the coefficients an & bn As given below in (9,10,11). DEFINITION 11.2.1 Fourier Series The Fourier series of a function f defined on the interval (-p, p) is given by do n TT n TT f(x): +2(a -x + b, sin (x). (8) n=1 wh S f(x) dx (9) P ,500 (10) (11) ao = a = b an cos f(x) cos - 11,56 NTT P NTT f(x) sin X x dx x dx.

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