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**Elusive1324** Let P be a transformation from (r,theta) -> (x=rcos(theta), y=rsin(theta)) be a mapping from R^2 to R^2.

1. Does P preserve angles at the point r=2, theta = pi/4?

2. By what factor does the map P distort area at the point r=2, theta = pi/4?

All I know so far is that P is a 2x2 matrix that maps a polar coordinate to it's Cartesian coordinate.

I'm not sure how to proceed to answer the questions from here. I can't think of a way to construct the matrix of transformation because (r,theta) -> (rcos(theta), rsin(theta)) involves a substitution of theta.