Prove that the tangent line at a point P on the cycloid always passes through the top

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Prove that the tangent line at a point P on the cycloid always passes through the top point on the rolling circle as indicated in Figure 22. Assume the generating circle of the cycloid has radius 1.

y P Tangent line - Cycloid -X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 05:57 AM

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Prove that the tangent line at a point P on the cycloid always passes through the top

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y P Tangent line - Cycloid -X

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Suppose that P Pt t sint 1 cos t Then the point at the t...View the full answer

Calculus

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