Chapter 8.7, Problem 22E

(a)

To determine

Tosketch the cycloid with given parameters.

Explanation of Solution

Given:

A circle of radius one unit is rolled along the x axis at a rate of 1 unit per second, then the path of a point P on the circle is called a cycloid.

Calculation:

The following is the sketch of the cycloid of radius one unit.

(b)

To determine

To compare the results of the sketch.

Explanation of Solution

Given:

The equations of cycloid are $x=t-\sin t$ and $y=1-\cos t$

Calculation:

The following is the graph of the two equations of cycloid-