Identify the symmetries of the curves in Exercises 1–12. Then sketch the curves in the xy-plane. 1. r = 1 + cos 0 2. r = 2 – 2 cos 0 3. r = 1 – sin 0 4. r = 1 + sin 0 5. r = 2 + sin 0 6. r = 1 + 2 sin 0 7. r = sin (0/2) 8. r = cos (0/2) 9. r² = cos 0 10. r = sin 0 11. r² = -sin 0 12. r2 = -cos 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Identify the symmetries of the curves in Exercises 1–12. Then sketch
the curves in the xy-plane.
1. r = 1 + cos 0
2. r = 2 – 2 cos 0
3. r = 1 – sin 0
4. r = 1 + sin 0
5. r = 2 + sin 0
6. r = 1 + 2 sin 0
7. r = sin (0/2)
8. r = cos (0/2)
9. r² = cos 0
10. r = sin 0
11. r² = -sin 0
12. r2 = -cos 0
Transcribed Image Text:Identify the symmetries of the curves in Exercises 1–12. Then sketch the curves in the xy-plane. 1. r = 1 + cos 0 2. r = 2 – 2 cos 0 3. r = 1 – sin 0 4. r = 1 + sin 0 5. r = 2 + sin 0 6. r = 1 + 2 sin 0 7. r = sin (0/2) 8. r = cos (0/2) 9. r² = cos 0 10. r = sin 0 11. r² = -sin 0 12. r2 = -cos 0
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