A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid (see figure). Use the angle 0 to find a set of parametric equations for this curve.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve
traced by a point on the circumference of the smaller circle is called an epicycloid (see figure).
Use the angle 0 to find a set of parametric equations for this curve.
Transcribed Image Text:A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid (see figure). Use the angle 0 to find a set of parametric equations for this curve.
y
4
3
1
(х, у)
3
4
Transcribed Image Text:y 4 3 1 (х, у) 3 4
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