# Question: Let be a phase angle which is uniformly distributed

Let θ be a phase angle which is uniformly distributed over (0, 2π. Suppose we form two new random variables according X = cos (aθ) and Y = sin (aθ) to and for some constant a.

(a) For what values of the constant are the two random variables X and Y orthogonal?

(b) For what values of the constant are the two random variables X and Y uncorrelated?

(a) For what values of the constant are the two random variables X and Y orthogonal?

(b) For what values of the constant are the two random variables X and Y uncorrelated?

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