Homework 2 – University of California, San Diego – cos(t) has fundamental period 2sec and cos(t) has fundamental period 2 sec. There is no value of t where both cos(t) and cos(t) start a new cycle as 2nis never an integer (is a irrational number). (e) x(t) = (sin(t))4 Solution: Yes x(t) = sin4(t) = ejt jte 2j 4 = 1 16 e2jt+ e 2jt 2 2 = 1 16 2cos(4t) 8cos(2t) + 6 (1) Fundamental.
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