Consider the polar curves C₁ and C2, where: • C₁ is the upper half of the circle r = cos 0. • C₂ is the petal of the rose r = cos(40) above the polar axis that is symmetric about the π -axis. 2 In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates P (V₁-12). 4 5 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. C₂ P C₁
Consider the polar curves C₁ and C2, where: • C₁ is the upper half of the circle r = cos 0. • C₂ is the petal of the rose r = cos(40) above the polar axis that is symmetric about the π -axis. 2 In the first quadrant, C₁ and C₂ inter- sect at the point with polar coordinates P (V₁-12). 4 5 1. Verify algebraically that the pole is also a point of intersection of C₁ and C₂. 2. Set up the (sum/difference of) integral(s) equal to the area of the shaded region. C₂ P C₁
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 44CT
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7. please show how you answered. big help!
![Consider the polar curves C₁ and C2, where:
• C₁ is the upper half of the circle r = cos 0.
• C₂ is the petal of the rose r = cos(40) above
the polar axis that is symmetric about the
2-axis.
π
. In the first quadrant, C₁ and C₂ inter-
sect at the point with polar coordinates
√5-1 2T
P
4
5
1. Verify algebraically that the pole is also a point
of intersection of C₁ and C₂.
2. Set up the (sum/difference of) integral(s) equal
to the area of the shaded region.
C₂
C₁
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf7bb720-d07c-401d-9eae-36d3ea001610%2Fe8bd1786-ce9c-48c8-b712-206cfcb7ba36%2Fj21ysvd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the polar curves C₁ and C2, where:
• C₁ is the upper half of the circle r = cos 0.
• C₂ is the petal of the rose r = cos(40) above
the polar axis that is symmetric about the
2-axis.
π
. In the first quadrant, C₁ and C₂ inter-
sect at the point with polar coordinates
√5-1 2T
P
4
5
1. Verify algebraically that the pole is also a point
of intersection of C₁ and C₂.
2. Set up the (sum/difference of) integral(s) equal
to the area of the shaded region.
C₂
C₁
0
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