The parametric equations are
,
and the point is
.
Let the point is
, then
.

Consider
.
Differentiate with respect to t .
\
.
Consider
.
Differentiate with respect to t .
\
.
The slope(
) of the tangent line is
.

The slope(
) of the tangent line at
:
.
Point-slope form of a line equation
.
Substitute the point
and
in the above equation.

The tangent line is
.
Graph: \ \
\Graph the parametric curve and the tangent line
: \ \
.
The tangent line is
.
Graph of the parametric curve and the tangent line
is \ \
.