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The equations are $\"\"$ , $\"\"$ and $\"\"$ .

Graph the three equation on same polar grid.

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Observe the graph:

The equations $\"\"$ and $\"\"$ are the graphs of $\"\"$ after a rotation about the pole of $\"\"$ and $\"\"$ , respectively. The graph of $\"\"$ will be the graph of $\"\"$ after a rotation of $\"\"$ about the pole.

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Graph:

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