Find the slope of the line tangent to the following polar curves at the given points. At the points where the curve intersects the origin (when this occurs), find the equation of the tangent line in polar coordinates.

\(r=6+3 \cos \theta;\ \ (3,\ \pi)\ \text{and}\ (9,\ 0)\)

Solution 9E

Step 1:

We have the derivative with polar coordinates is