Problem

A discrete-time signal x[n] is known to be a sinusoidThe values of x[n] are tabulated for...

A discrete-time signal x[n] is known to be a sinusoid

The values of x[n] are tabulated for n = 1, 2, 3,4, and 5.

n	1	2	3	4	5
x[n]	2.50	0.5226	–1.5451	–3.3457	–4.5677

(a) Plot x[n] versus n.
(b) Prove (with phasors, not trigonometry) the following identity for the cosine signal:
Determine the value of the constant β.
Note: β does not depend on n, but it might be a function of .
(c) Now determine the numerical values of A, ϕ, and (This is an easy calculation if you find first.)