For each sinusoid, find the two other sinusoids whose frequencies are nearest to the frequency of the given sinusoid and which, when sampled at the specified rate, have exactly the same samples.
(a) x(t) = 4 cos (8?t) , fs = 20
(b) x(t) = 4 sin (8?t) , fs = 20
(c) x(t) = 2 sin (?20?t) , fs = 50
(d) x(t) = 2 cos (?20?t) , fs = 50
(e) x(t) = 5 cos (30?t + ?/4) , fs = 50
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