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Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as $ t $ increases.

$ x = t + \sin t $, $ \quad y = \cos t $, $ \quad -\pi \leqslant t \leqslant \pi $

$$\begin{array}{|l|lllll|}\hline t & -\pi & -\pi / 2 & 0 & \pi / 2 & \pi \\\hline x & -\pi & -\pi / 2+1 & 0 & \pi / 2+1 & \pi \\\hline y & -1 & 0 & 1 & 0 & -1 \\\hline\end{array}$$

Calculus 2 / BC

Chapter 10

Parametric Equations and Polar Coordinates

Section 1

Curves Defined by Parametric Equations

Parametric Equations

Polar Coordinates

Missouri State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:51

Sketch the curve by using …

02:37

(a) Sketch the curve by us…

02:56

Sketch the curve by elimin…

03:41

Use point plotting to grap…

04:21

03:21

00:52

Graphs of Parametric Equat…

00:39

Graph the curve defined by…

01:38

02:59

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