$\"\"$

(a)

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

Pythagorean identity: $\"\"$ .

Substitute $\"\"$ and $\"\"$ in the identity.

$\"\"$

$\"\"$ .

The curve equation in cartesian form is $\"\"$ .

. $\"\"$

(b)

The equation is $\"\"$

The domain of the function is $\"\"$ .

Graph:

Graph the parametric equation $\"\"$ and $\"\"$ :

$\"\"$

(a) Equation of the curve $\"\"$

(b)

Graph of the parametric equation $\"\"$ and $\"\"$ is

$\"\"$ .