Question

Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.

$r=1-\cos \theta$

Short answer

The graph of the equation is:

Step-by-step solution

Step 1. Given information

The equation of the curve:

$r=1-\cos \theta$

Step 2. Graph the equation inθr-plane.

The value of$\theta$lies on the horizontal axis and$r$lies on the vertical axis.

The graph of $r=1-\cos \theta$is obtained by reflecting the graph of $r=\cos \theta$then shifting the graph by 1 unit, vertically upward.

Here the graph shows the value of $r$in all four quadrant when graph is plotted in the polar plane.