Show that r = 1 () and r = 2 () define the same curves

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Show that r = ƒ1(θ) and r = ƒ2(θ) define the same curves in polar coordinates if ƒ1(θ) = −ƒ2(θ +π). Use this to show that the following define the same conic section:

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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