Consider the 2π-periodic even function defined for - f(t) = 9. ao = (for n ≥ 1) an = = (for n ≥ 1) bn = FSƒ(π/2) = FS, (T) = π cos(t) 5 + ift ± | cos(t)| 9 f(-1) ƒ(77) = FSƒ (t) = Fourier series converge to for t = π/2 and t = π. Find the coefficients of the Fourier series FS. ≤t≤ π as follows =−3_ƒ(-- = -3. ao + Σ(an cos(nt) + bn sin(nt)). What does the 2 n=1

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