x = r(cos 0 + sin Ø) y = r(sin 0 – 0 cos 0) T

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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A string is wound around a circle and then unwound while being held taut. The curve traced by the point P at the end of the siring is called the involute of the circle. If the circle has radius r and center O and the initial position of P is (r, 0), and if the parameter θ is chosen as in the figure, show that parametric equations of the involute are

x = r(cos 0 + sin Ø) y = r(sin 0 – 0 cos 0)
T
Transcribed Image Text:x = r(cos 0 + sin Ø) y = r(sin 0 – 0 cos 0) T
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