Express the unilateral z-transform of each of the following functions as a ratio of polynomials in z.
(a) cos (0.5n)
(b) sin (0.5n)
(c) 20 cos (0.5n – π/4)
(d) 10e–2n cos (0.5n)
(e) 10e–a2n cos (0.5n – π/4)
(f) 5(–0.9)n cos (0.5n)
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