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 \ \
.