To find: the parametric equations of epicycloids .
Answer to Problem 60E
Therefore, the required parametric equation of the point
Explanation of Solution
Calculation:
Let the circle and the point
The distance
Which by the arc length ,is
Let the coordinate of
Since
Where R is the radius of the larger circle and r is the radius of the small circle.
Since
And ,
Therefore, the required parametric equation of the point
Conclusion:
Therefore, the required parametric equation of the point
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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