Chapter 11, Problem 17RE

To determine

To determine: The appropriate window and graph the polar curve on a graphing calculator.

Answer to Problem 17RE

The required window is $\left[-2,2\right]$ by $\left[-1.5,1.5\right]$ .

Explanation of Solution

Given information:

The equation: $r=\cos 2\theta$

Calculation:

The given equation is $r=\cos 2\theta$ .

The interval of the above equation is $0\le \theta \le 2\pi$ .

So, the window is $\left[-2,2\right]$ by $\left[-1.5,1.5\right]$ .

The required graph is shown below:

  

From the above graph it is seen that the required graph is a 4-petaled rose; where n is even and $n=4$ that is, number of petals is 4.

Hence, the required window is $\left[-2,2\right]$ by $\left[-1.5,1.5\right]$ .