List of practice Questions

Let \(X = \cos\Theta\) and \(Y = \sin\Theta\), where \(\Theta\) is a random variable uniformly distributed over \((0, 2\pi)\). Which of the following options is/are CORRECT?

Hint: \( \text{cov}(X,Y) = E\big[(X-E(X))(Y-E(Y))\big] \)