The parametric equations are ,
and the point is
.
Let the point as .
Substitute in
.
and
and
and
.
doesnot satisfy the
. \ \
Thus, is only solution.
Consider .
Differentiate the above equation with respect to .
Consider .
Differentiate the above equation with respect to .
The slope(m) of the tangent line is .
The slope(m) of the tangent line at :
The slope() of the tangent line at
is
.
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
.