Two-Dimensional Parametric Plots

## Description

Sage can do parametric plots. Below is how Sage plots

(1)\begin{align} x(t) &= \cos t + 2 \cos(t/4) \\ y(t) &= \sin t - 2 \sin(t/4) \end{align}

for $0 < t < 8\pi$.

## Sage Cell

#### Code

```
t = var('t')
parametric_plot([cos(t) + 2 * cos(t/4), sin(t) - 2 * sin(t/4)], (t,0, 8*pi))
```

## Options

#### Option

To fill a parametric plot, use the option `fill = True`. The default is `fill = False`.

#### Code

```
t = var('t')
parametric_plot([cos(t) + 2 * cos(t/4), sin(t) - 2 * sin(t/4)], (t,0, 8*pi), fill=True)
```

## Tags

Primary Tags: Plotting: Two-dimensional plots

Secondary Tags: Two-dimensional plots: Parametric plots

## Related Cells

## Attribute

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Author: T. Judson

Date: 08 Jul 2017 19:14

Submitted by: Tom Judson