Pick two functions, x1(t) = cos(w1t) and x2(t) = sin(w2t) where w1 and w2 are dierent frequencies (to make life easy you should probably select these frequencies such that their ratio is a rational number). By hand, solve for the Fourier Transform of x(t) = x1(t) x2(t). Then, use Matlab to verify that your hand calculation is correct. In other words, take the Fourier Transform coefficients you calculate by hand and use Matlab to rebuild x(t) using those coecients (this will be similar to the code we've been generating in Lecture and Recitation). What is the effect on the Fourier Transform of multiplying the two signals together?