   Chapter 10.2, Problem 57E

Chapter
Section
Textbook Problem

# Graphing a Plane Curve In Exercises 59–66, use a graphing utility to graph the curve represented by the parametric equations. Indicate the orientation of the curve. Identify any points at which the curve is not smooth. Cycloid : x = 2 ( θ − sin θ ) , y = 2 ( 1 − cos θ )

To determine

To graph: The parametric equations using a graphing utility indicating the orientation of the curve and the smoothness

Explanation

Given:

Parametric equation: x=2(θsinθ),y=2(1cosθ)

Graph:

Interpretation: x=2(θsinθ),y=2(1cosθ)

Differentiating x and y we have

x'=2

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