My question is, do you guys get r values that are extremely close to 6? My graphing calculator (TI-84 Silver Plus) gives me that for every \(\displaystyle \theta\) value from 0 to \(\displaystyle 2\pi\).

Here is the equation:

\(\displaystyle r = 2 + 4\cos\theta\)

My book gives an example of what the graph should look like for the model equation \(\displaystyle r = a \pm b\cos\theta\) when 0 < a < b, and is described as a Limaçon with an inner loop.

In essence, amidoinitrite?