A string is wound around a circle and then unwound whilebeing held taut. The curve

Chapter 10, Problem 10.2.73

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A string is wound around a circle and then unwound whilebeing held taut. The curve traced by the point at the end ofthe string is called the involute of the circle. If the circle hasradius and center and the initial position of is ,and if the parameter is chosen as in the figure, showthat parametric equations of the involute are

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