$\"\"$

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The polar equation is $\"\"$ .

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The equation $\"\"$ has sine function is symmetrical about vertical axis.

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Graph the polar equation in cartesian plane: $\"\"$ on $\"\"$ .

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$\"\"$

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Observe the graph:

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The equation $\"\"$ is minimum at $\"\"$ and maximum at $\"\"$ .

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The equation $\"\"$ has sine function is symmetrical about vertical axis.

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$\"\"$

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$ .

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The $\"\"$ value is changed, so it is not symmetrical about polar axis.

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As $\"\"$ increases from $\"\"$ to $\"\"$ , $\"\"$ decreases from $\"\"$ to $\"\"$ .

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As $\"\"$ increases from $\"\"$ to $\"\"$ , $\"\"$ increases from $\"\"$ to $\"\"$ .

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As $\"\"$ increases from $\"\"$ to $\"\"$ , $\"\"$ increases from $\"\"$ to $\"\"$ .

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As $\"\"$ increases from $\"\"$ to $\"\"$ , $\"\"$ decreases from $\"\"$ to $\"\"$ .

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Graph the polar eqation:

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$\"\"$

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$\"\"$

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Graph of the polar equation in cartesian plane: $\"\"$ .

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$\"\"$