Question: Please help me with this question as fast as possible. Consider two independent random variables (X1, X2) such that X 1 follows an exponential distribution

Please help me with this question as fast as possible.

Consider two independent random variables (X1, X2) such that X 1 follows an exponential distribution with mean 2, and X2 follows a uniform distribution on [0, 271). Let Y1 = VX1 cos(X2) and Y2 = \\X1 sin(X2). Show that Y1 and Y2 are independent standard normal variables

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