Find the trigonometric Fourier series for the function f(x): [-T, T] → R given by the expression: sin x if x = [-T, 0] f(x) = { 0 if z € (0, π] O FS(x) = - +n=2 (n²-1) π O FS (x) = 1 +n-2 FS(x) = - (-1)" cos (nx) - sinx. O FS(x) = 2 + 1+(-1)^ n-2 (n²+1) cos(nx) - sin x. 1+(-1)" cos(nx) + sinx. + En-2 (n²-1) T 1-(-1)" Zn-2 (n²-1) -sin(nx) — sin r. 1+(-1)^ -cos(nx) + sinx. O FS(x) = - +Σn=2 (n-1)π 2п

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