Chapter 6, Problem 58RE

Solution

To find: whether the graph of given polar equation appears among the given four graphs.

The graph of the polar equation $r=1-2\cos \theta$ as shown in figure (1) is similar to graph (d).

Given information:

The polar equation is $r=1-2\cos \theta$ .

The given four graphs are as follows.

  

Calculation:

Plot the graph of the given polar equation.

  

Figure (1)

From the graph, it can be observed that it is similar to graph (d).

Therefore, the graph of polar equation $r=1-2\cos \theta$ is similar to graph (d).