Given the function f(x) =1 0 x sin x x 2 (a) Sketch the graph of f(x), and then

Given the function f(x) =1 0 ≤ x ≤ π sin x π ≤ x ≤ 2π 

(a) Sketch the graph of f(x), and then extend the sketch so that it becomes the graph of an odd function. 

(b) Find the half range Fourier sine series of f(x). 

n n