Question

graph each pair of polar equations on the same polar grid. Find the polar coordinates of the point(s) of the intersection and label the point(s) on the graph.

$$\begin{gathered} r=8\cos \theta \\ r=2sec\theta \end{gathered}$$

Short answer

The polar coordinates of the points of intersection of $r=8\cos \theta \&r=2sec\theta$are $\left(4,\frac{\mathrm{\pi }}{3}\right)\&\left(4,\frac{\mathrm{\pi }}{3}\right)$and the graph is

Step-by-step solution

Step 1. Given Information  

The given equations are

$$\begin{gathered} r=8\cos \theta \\ r=2sec\theta \end{gathered}$$

Step 2. Graph of equation 

Plot the graph of equations $r=8\cos \theta \&r=2sec\theta$on the same polar grid

The graph state that the coordinates of the points of intersection are$\left(4,\frac{\mathrm{\pi }}{3}\right)\&\left(4,\frac{-\mathrm{\pi }}{3}\right)$