$\"\"$

The function is $\"\"$ .

The equation is of the form $\"\"$ , so it represents rose petal graph.

$\"\"$ is an even number the number of petals are $\"\"$ .

$\"\"$ is an odd number the number of petals are $\"\"$ .

Here, $\"\"$ , the number of petals are $\"\"$ .

The function $\"\"$ represents rose of three petals.

Since the 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 :

Draw polar coordinate plane.

Plot the points obtained in the table.

Graph the polar equation $\"\"$ .

$\"\"$

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

$\"\"$

The function represents rose of three petals.