Question: 4. (a) Let f be a periodic function with period 27. Given that (an cos(n.x) + b sin(n.x)), show that an = 18 [(2)

4. (a) Let f be a periodic function with period 27. Given

4. (a) Let f be a periodic function with period 27. Given that (an cos(n.x) + b sin(n.x)), show that an = 18 [(2) cos(nx) dr, for all n 0. 7=1 (b) Consider the function f defined by ST + f(x) = bn 123) T-I, if - < < 0. if 0

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