In all the questions below, f(t) denotes the sum of the following Fourier series: f (t) = > 1 ikt 1-2 , tER. KEZ\\(0} where Z is the set of all integers, Z \\ {0} := {ke Z, z * 0}, i denotes the imaginary unit (so i? = -1), and elkt = cos(kt) + isin(kt). (8) (2 marks) Find the coefficients ao, a1, a2, ... and b1, b2, ... such that f (t ) := " + _ an cos(nt) + bn cos(nt) n=1 (9) (2 marks) Find the coefficients Ao, Al, A2, ... and 41, 92, ... such that f (t) := Ao + > Ansin(nt + 4n). n=1