1.9 Polar, Cylindrical, and Spherical Coordinates (continued)

Polar Coordinates

Work through this exercise and explain your reasoning step by step.

Work through this exercise and explain your reasoning step by step.

Work through this exercise and explain your reasoning step by step.

Work through this exercise and explain your reasoning step by step.

Work through this exercise and explain your reasoning step by step.

Work through this exercise and explain your reasoning step by step.

This activity gives you an opportunity to graph some equations in polar coordinates where $r$ is expressed as a function of $\theta$.

Graph the equation $r=1+\cos(\theta)$ in the polar plane.

Graph the equation $r=1-\cos(\theta)$ in the polar plane.

What are the points of intersections for the graphs of $r=1+\cos(\theta)$ and $r=1-\cos(\theta)$

$r=2$

$\theta=\frac{\pi}{3}$

$x=-1$

$y=2$

$y=-x$

$r=\displaystyle\frac{3}{1-2\cos(\theta)}$