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The Sequence X[N] = Cos (Π/4 N). −∞ < N < ∞ Was Obtained By Sampling A Continuous-Time Signal X C (T) = Cos (Ω 0 T). −∞ < T < ∞, At A Sampling Rate Of 1000 Samples/S, What Are Two Possible Positive Values Of Ω 0 That Could Have Resulted In The Sequence X[N]?
The sequence

x[n] = cos (π/4 n). −∞ < n < ∞

was obtained by sampling a continuous-time signal

xc(t) = cos (Ω0t). −∞ < t < ∞,

at a sampling rate of 1000 samples/s, what are two possible positive values of Ω0 that could have resulted in the sequence x[n]?