Question

How do you graph `r=1+2costheta`?

Answer 1

Explanation:

The curve in red is the plot of `1+2cos(theta)` and the one in purple is the plot of `r=1+2cos(theta)`. The purple is drawn from the red. Starting from positive `x -ax\is`, the purple curve goes from `r=3` at `theta = 0` and decreases until it goes to zero, then decreases further until the minimum `r=-1` at `theta = pi`, then increases and goes back to zero, and continues increasing until reaching another maximum `r=3` at `theta = 2*pi`.