Find the rectangular equation of the curve.

Question

Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve.

Answer 1

Step 1 :

The parametric equations are .

Construct a table by taking various choices of the parameter t.

Graph :

1) Draw the coordinate plane.

2) Plot the points.

3) Connect those points.

Step 2 :

Find the rectangular equation of the graph.

Consider .

Solve for t.

Substitute in .

The rectangular equation of the graph is .

Solution :

The rectangular equation of the graph is .