The equation r = sin(n), where n 2 is even, is a rose of 2n petals

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The equation r = sin(nθ), where n ≥ 2 is even, is a “rose” of 2n petals (Figure 1). Compute the total area of the flower, and show that it does not depend on n.

*** n = 4 (8 petals) n = 2 (4 petals) n = 6 (12 petals)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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