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Let Y (t) = sin(ωt + Θ) be a sinusoidal signal with random phase Θ ∼...

Let Y (t) = sin(ωt + Θ) be a sinusoidal signal with random phase Θ ∼ U[−π, π]. Find the pdf of the random variable Y (t) (assume here that both t and the radial frequency ω are constant). Comment on the dependence of the pdf of Y (t) on time t.

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