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(Solved): Graph the cycloid described by \( x=\theta-\sin \theta, y=1-\cos \theta \) on \( [-2 \pi, 2 \pi] \ ...
![Graph the cycloid described by \( x=\theta-\sin \theta, y=1-\cos \theta \) on \( [-2 \pi, 2 \pi] \)
What is the tangent at \(](https://media.cheggcdn.com/media/ac6/ac6e24c2-b917-4355-9469-3bf04a2c49cc/phpCXVqIJ)
Graph the cycloid described by \( x=\theta-\sin \theta, y=1-\cos \theta \) on \( [-2 \pi, 2 \pi] \) What is the tangent at \( \theta=\frac{\pi}{4} \) ? At what points are the tangents horizontal?
Expert Answer
Solution: Given the cycloid x=??sin??,y=1?cos??,[?2?,2?] First, we sketch the given curve Horizontal tangents at-?Horizontal tangents at??-?-2?2?