Step 1:

(a)

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

Draw a table for different values of $\"\"$ .

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

Graph :

Draw the coordinate plane.

Plot the point obtained from the table.

Connect the points to a smooth curve.

$\"\"$

Step 2:

(b)

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

Consider $\"\"$ .

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Rectangular equation of the curve is $\"\"$ .

Solutions:

(a) Graph of the parametric curve is

$\"\"$

(b) Rectangular equation of the curve is $\"\"$ .