Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

To keep track of a location in a two-dimensional space, two measurements are needed. Most of the time, we would naturally think to do this by the Cartesian method, measuring position along one axis ...

Particle P travels on an elliptical path, as shown above. The equation for an ellipse in polar form is provided above, with the origin of the polar coordinates at point O. The animation below shows ...