A circle of radius 1 rolls around the circumference of a larger circle of radius 4. The epicycloid traced by a point on the circumference of the smaller circle is given by x = 5 cost – cos 5t and y = 5 sin t – sin 5t. Find the distance traveled by the point in one complete trip about the larger circle.
A circle of radius 1 rolls around the circumference of a larger circle of radius 4. The epicycloid traced by a point on the circumference of the smaller circle is given by x = 5 cost – cos 5t and y = 5 sin t – sin 5t. Find the distance traveled by the point in one complete trip about the larger circle.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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