10.2 Parametric Equations & Polar Coordinates
Calculus With Parametric Curves
Question #2 (Medium): Finding the Equation of the Tangent
Any equation of a tangent line follows after linear slope intercept equation form:
So the goal is to find the slope and at the given parameter value , plug into each of
the parametric equations for coordinate. Then rearrange the equation to find the last value
which is the -intercept. Then by the definition of equation, leavand but only fill in theand .
Find the equation of the tangent to the curve at the point that corresponds to the given parameter value.
Any equation of tangent is given by a linear equation: