(2cost, |t| ≤1 (a) The Fourier transform of the function: f (t) = cost, 1 < |t| ≤2 is Please choose one: a) 2 b) c) O 0, [sin 2(w−1)+sin(w−1) _ sin 2(w+1)+sin(w+1)] w-1 w+1 1 sin 2(w-1)+sin(w-1) sin 2(w+1)+sin(w+1), w-1 sin 2(w-1)+sin(w-1) + + w+1 sin(w+1)] sin 2(w+1)+sin(w+1) w-1 d) None of the above w+1 Please scroll to the bottom of page for END of question (b) The inverse Fourier transform of the function F(w) = Please choose one: a) -3e it [u(t + 1) = u(t − 1)] b) 3e int[u(t + 1) = u(t − 1)] - c) O 2 e-intu(t + 1)u(t − 1)] - d) None of the above |t| > 2 (10 marks) 3 cos(w+ is (10 marks) w+π