$\"\"$

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

Eliminate parameter $\"\"$ .

Consider $\"\"$ .

$\"\"$

$\"\"$ .

The rectangular equation is $\"\"$ .

$\"\"$

Since the rectangular equation is $\"\"$ , the curve is defined for all real values of $\"\"$ .

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

Graph the curve.

Graph :

$\"\"$ .

Observe the above graph :

The domain of the rectangular equation needs to be restricted to all values of $\"\"$ .

$\"\"$

Graph :

$\"\"$ .

The domain of the rectangular equation needs to be restricted to all values of $\"\"$ .