Mathematics

Mathematics

Problem

53. Cycloid The graph of the parametric equations x=t−sin⁡t,y=1−cos⁡tx=t-\sin t, y=1-\cos t is a cycloid. ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/e7512a6046a4/2025_11_21_4a8060b496ad44b692f3g-11.jpg) (a) What is the maximum value of y=1−cos⁡ty=1-\cos t ? How is that value related to the graph? (b) What is the distance between neighboring xx-intercepts?

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