Question 4. Consider the polar curves C₁ r = 2 sin and C₂ : r = 2 cos 0, where 0 ≤0 ≤ 2π. (a) Find the Cartesian equations of C₁ and C2 and make a neat sketch of these curves. (b) Using polar equations of C₁ and C₂ to find their intersection points (Do not use their Cartesian equations!).
Question 4. Consider the polar curves C₁ r = 2 sin and C₂ : r = 2 cos 0, where 0 ≤0 ≤ 2π. (a) Find the Cartesian equations of C₁ and C2 and make a neat sketch of these curves. (b) Using polar equations of C₁ and C₂ to find their intersection points (Do not use their Cartesian equations!).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 85E
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![Question 4. Consider the polar curves C₁ r = 2 sin and C₂ : r = 2 cos 0, where
0 ≤0 ≤ 2π.
(a) Find the Cartesian equations of C₁ and C₂ and make a neat sketch of these
curves.
(b) Using polar equations of C₁ and C₂ to find their intersection points (Do not
use their Cartesian equations!).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffba62899-78bf-4027-b5fb-01dbc7c6bce1%2F7139a28a-1849-44b7-ab7e-e2b0f2c4bef7%2Fnymzqtk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4. Consider the polar curves C₁ r = 2 sin and C₂ : r = 2 cos 0, where
0 ≤0 ≤ 2π.
(a) Find the Cartesian equations of C₁ and C₂ and make a neat sketch of these
curves.
(b) Using polar equations of C₁ and C₂ to find their intersection points (Do not
use their Cartesian equations!).
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