Consider the discrete-time sinusoid given by x[n] = A cos(ω n+ φ), where x[n] may or may not be periodic. For it tobe periodic with a period of N, it must satisfy x[n] = x[n + N] forall integers n.
(a) Substitute n + N into the expression x[n] and determine therelationship between ω and N that must be satisfied in orderfor x[n] to be periodic.
(b) What is the fundamental period of the discrete-time signal x[n]= cos(2π 12/36 n) ?