What does the graph of $r = \cos \theta$ such that $0^\circ \le \theta \le 360^\circ$ look like?

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What does the graph of $r = \cos \theta$ such that $0^\circ \le \theta \le 360^\circ$ look like?

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Answer 1 · 2014-12-28T01:50:24

I used Excel to plot your graph and I got:

enter image source here

In the first two columns you have for each angle $theta$ (in radians but it is the same) between $0$ and $2pi$ the corresponding value of $r$ , calculated as:
$r=cos(theta)$

The next two columns contain the corresponding values of $x$ and $y$ to plot your equation on a rectangular coordinate system $x,y$ .

To obtain the values in the $x$ and $y$ columns you must remember the relationship between polar (first two columns) and rectangular (second two columns) coordinates:

enter image source here

(hope it helped)

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What does the graph of $r = \cos \theta$ such that $0^\circ \le \theta \le 360^\circ$ look like?

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