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

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

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### Video Transcript

the trouble on this sketch the curve by using the perma tricky questions. Your plot points indicated with a marrow is the direction in which the kerchief is trist As TV in prison the first of a computer to values of acts and why? But he is equal to negative Pie X is equal to negative pie. Why is Psi Corps too negative? One p is equal to negative high over too. Behalf X is equal to negative High over too minus one Why is Seiko too Cyril twenty is equal to zero. Axe is equal to zero. Why his secret to one He is the Goto high over too. Axe is before two pi over too. Plus one. Why is the go to zero? Auntie is equal to Pi. Half X is equal to Hi. How serious is this? A pie and why it's before too. Negative one. Now let's get to the curve person too. Ugh! This is nicht high over too. And negative. Hi. I over it too. Armed. All right, Actually got connective. Hi. Why is it you want Nick to one? Siro could want negative pie next to one. Oh, here. Negative pile returned minus one. It's about here. Serial one here. Here. Yeah, So Graff is like this. This is a proof. By using the Parametric equations to plot points, Andi is a direction Ero is a direction in waged the crew if it's traced as tea increases.

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#### Topics

Parametric Equations

Polar Coordinates

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