Question: 1.42 * Prove that the transformations from rectangular to polar coordinates and vice versa are given by the four equations (1.37). Explain why the

1.42 * Prove that the transformations from rectangular to polar coordinates and vice versa are given by the four equations (1.37). Explain why the equation for is not quite complete and give a complete version. x = r cos r = x + y y = r sin $ = arctan(y/x)

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