(a)
\The parametric equations are
and
, over the interval
.
Construct a table with different values of
.
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Graph :
\(1) Draw the coordinate plane.
\(2) Graph the equations
and
for
.
Indicate the obtained points on the graph.
\Based on the values of
, indicate the direction of
as it increases with an arrow.
(b)
\
Solve for the value of
:

Substiute the value of
in
.

The domain is
.
The cartesian equation of the curve is
.
(a)
\The graph for parametric equations
and
:
Graph :
\
(b)
\The cartesian equation of the curve is
.