A half range periodic function f(x) is defined by f(x)={sinx,1,​0

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A half range periodic function f(x) is defined by f(x)={sinx,1,​0

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A half range periodic function f(x) is defined by f(x)={sinx,1,​0<x<2π​,2π​<x<π​ i. Sketch the graph of even extension of f(x) in the interval (4 marks) ii. Sketch the graph of odd extension of f(x) iny the interval −3π<x<3π. iii. Find the Fourier Cosine Series for f(a)dx
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