Question: 2. Consider the function f : IR > IR dened by 1'? f(:1:) : cos (a: E) 2008(3). f(:1:) can be expressed in the form

2. Consider the function f : IR > IR dened by 1'? f(:1:) : cos (a: E) 2008(3). f(:1:) can be expressed in the form it) = asin($ + b), Where a > 0 and b 6 (7r, 7r]. (a) Show that a = x/g and b = 4%. (b) Find an a: 6 He that satisfy at) = 0. (0) Sketch the curve y = f (2:) over :1: E [0,41r]. Include in your sketch the coordinates of all of the :3- and yintercepts, and the coordinates of the endpoint of the curve. [7+2+4=13marks]

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