Develop a new test for symmetry with respect to the pole.

Chapter , Problem 10.2.82

(choose chapter or problem)

Develop a new test for symmetry with respect to the pole. (a) Find a polar equation for which this new test fails, yet the test on page 727 works. (a) Show that the test on page 727 fails for r2 = cos 0, yet this new test works. (b) Find a polar equation for which the test on page 727 fails, yet the new test works.

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