$\"\"$

The polar equation is $\"\"$ .

The equation is of the form $\"\"$ and $\"\"$ , so its graph is a Limaçon with out inner loop.

The function represents a Limaçon with out inner loop.

Because this polar equation is a function of the sine function, it is symmetric with respect to the line $\"\"$ .

Graph the polar equation $\"\"$ .

Since polar equation is a sine function, it is symmetric with respect to the line $\"\"$ .

Construct a table and calculate the values of $\"\"$ on $\"\"$ .

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

$\"\"$

Graph :

1. Draw a polar coordinate plane.

2. Use the points and symmetry with respect to the line $\"\"$ to sketch the curve.

$\"\"$

The polar equation $\"\"$ represents a Limaçon with out inner loop.

Graph of the polar equation $\"\"$ :

$\"\"$