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Question

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 $

Wen Zheng · Accepted Answer

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Problem

Sketch the curve by using the parametric equation…

Problem 3 Medium Difficulty

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 $

Answer

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

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Video Transcript

Calculus: Early Transcendentals

Catherine R.

Kayleah T.

Caleb E.

Kristen K.

Integration Review - Intro

Definite vs Indefinite

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

Calculus: Early Transcendentals

Catherine R.

Kayleah T.

Caleb E.

Kristen K.

Integration Review - Intro

Definite vs Indefinite

Catherine R.

Kayleah T.

Caleb E.

Kristen K.

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