Question: (5) Let X, = asin(bn+ Z), n E 2, where a, and b are positive constants and Z is a random variable with uniform distribution

(5) Let X", = asin(bn+ Z), n E 2, where a, and b are positive constants and Z is a random variable with uniform distribution on the interval [7r, 7r]. Show that Xn is a stationary sequence (Hint: The formula sin a: siny = %(cos(m y) cos(m + y)) may be helpful)

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