The relationship between the random processes X(t) and Y(t), as Y(t) = X(t) tan(wt+0) is given. Here, X(t) is broadly a

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The relationship between the random processes X(t) and Y(t), as Y(t) = X(t) tan(wt+0)
is given. Here, X(t) is broadly a stationary process.
0 and X(t) statistical as independent.
It varies uniformly between 0(-π , π).
a) Find the expected value of Y(t).
b) Determine the autocorrelation function of Y(t).
c) Determine whether Y(t) is ergodic.
d) Spectral power density of Y(t), spectral power density of X(t)
Specify in terms of .