Solution: A string is wound around a circle and then unwound while being held taut. The

Chapter 10, Problem 73

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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 string is called the involute of the circle. If the circle has radius r and center O and the initial position of P is sr, 0d, and if the parameter is chosen as in the figure, show that parametric equations of the involute are x rscos 1 sin d y rssin 2 cos d

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