2. (a) (15 points) Compute the Fourier sine series of f() = cos I, 2 (0,7). Sketch the (limit of) Fourier sine series on the interval (27, 27). To what value does the series converge at x=0? (b) (5 points) What is the Fourier cosine series of f(x) = cos 1, E [0, 7)? Include the domain of the series in your answer. (Hint: You should not need to do a calculation for this.]