A polar curve is represented by the equation r1 = 7 + 4cos θ. Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation. Part B: Is the curve symmetrical to the polar axis or the line theta = pie over 2. Justify your answer algebraically. Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
A polar curve is represented by the equation r1 = 7 + 4cos θ. Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation. Part B: Is the curve symmetrical to the polar axis or the line theta = pie over 2. Justify your answer algebraically. Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
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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A polar curve is represented by the equation r1 = 7 + 4cos θ.
Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.
Part B: Is the curve symmetrical to the polar axis or the line theta = pie over 2. Justify your answer algebraically.
Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
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