Consider the Cartesian equation of a circle y 2 plusminus 3

Consider the Cartesian equation of a circle y = -2 plusminus 36 - (x - 1)^2, versus the parametric equations of the same circle: x = 1 + 6 cos t y = -2 + 6 sin t. What are the advantages of the parametric equations? Select all that apply. The parametric equations show the direction in which the circle is drawn The parametric equations describe a three-dimensional figure. For a given value of the independent variable, the parametric equations yield exactly one point on the graph The parametric equations have a finite domain. The parametric equations are easier to enter into a calculator for graphing.

Solution

The advantages of parametric equations are

1) For a given value of the independent variable the parametric equation is used exactly one point on the graph

2) the parametric equations have a finite domain

3) the parametric equation is easier to enter into a calculator for graphic