Chapter 9.2, Problem 28E

To determine

To draw: the polar equations by using graphing calculator.

Explanation of Solution

Given information:

The polar equations are $r=1\text{ and }r=2\cos 2\theta$ .

Graph: Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press $\boxed{\text{Y=}}$ button.

Step 3: Enter the expression $r=1\text{ and }r=2\cos 2\theta$ which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

  

Interpretation: from the above graph it can be observed that the points of intersections of equations are $\left(\pm 1,0\right),\left(0,\pm 1\right),\left(-0.5,0.87\right),\left(-0.5,-0.87\right),\left(0.50,0.87\right),\left(0.50,-0.87\right)$