FOURIER SERIES, ODD AND EVEN FUNCTIONS, FOURIER SINE AND COSINE SERIES 34. Graph each of the following functions and find their corresponding Fourier series using properties of even and odd functions wherever applicable. 8 (a) F(x) = -8 0 < x < 2 2 < x < 4 Period 4 (c) F(x) = 4x, 0 < x < 10, Period 10 (b) F(x) = Ans. (a) 16 (b) 2 n=1 8 -x -4 ≤ x ≤ 0 2x Period 8 (d) F(x) = 0 ≤ x ≤ 4 0 ≤ x < 3 -3 < x < 0 Period 6 (1 - cos NT) n NπX sin 2 40 1 NTX (c) 20 sin 77 n=1 n 5 €160/00 n=1 (1 - cos nπ) n2 NπX cos (d) 4 32 + Σ n=1 6(cos nπ - 1) nTx 6 cos NT nxx cos sin n² 2 3 NTT 3