(732, #49) Find the parametric equations for the tangent line to the curve
with the parametric equations at point . Illustrate by graphing both the curve and the tangent line on a common screen.

Solution:

The parameter value corresponding to the point is , so

Therefore the parametric equations for the tangent line to the curve
with parametric equations

at the point
are:


Here is the graph of the function and its tangent line:

Maple code

by: gm