Write the definition of the parametric curve.

The parametric curve is defined as the set of points in the plane (the parametric equations of x=f(t) and y=g(t) ) where the variable t increases, the increase in parameters of x and y will produce parametric curve in the plane.

Define the sketch the parametric curve.

Here, dydx is the slope of tangent of a parametric curve which can be represented as the function of t .

The expression is given as dydx=dy/dtdx/dt .

Therefore, for determining the tangent of the curve, the above derivative equation is to be evaluated to define the parametric curve.