Let D be the overlap part of the three planar regions each bounded by closed polar curves r = 1, r = 2cosθ and r = 2sinθ, respectively. (a). Sketch the planar region D. Describe D in polar coordinates (using the set builder notation).    (b). Find the area of D.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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Let D be the overlap part of the three planar regions each bounded by closed polar curves r = 1, r = 2cosθ and
r = 2sinθ, respectively.
(a). Sketch the planar region D. Describe D in polar coordinates (using the set builder notation). 

 

(b). Find the area of D.

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