Walkthrough of how to calculate any of these would be greatly appreciated.
Exercise 12.3
(a) What is the DFT of a pure cosine wave cos(t) sampled at n equally spaced points on the interval [0, 2π)?
(b) What is the DFT of a pure sine wave sin(t) sampled at n equally spaced points on the interval [0, 2π)?
(c) What is the DFT of the sum of the two previous functions sampled at n equally spaced points on the interval [0, 2π)?