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 ...

Surprise. You actually need this sometimes. Let's do this. How about a review of two different coordinate systems: Cartesian and polar coordinates. Also, how do you use polar coordinates to track ...

With everything said and done, the polar coordinate plotter seems to work just as well as its Cartesian cousins might, orienting it like this has some advantages as well. Specifically, it is more ...

"It is difficult to manufacture such structures in the traditional Cartesian coordinate system ... By adopting a polar coordinate system, rotation, and retraction steps, the manufacturing of ...

By placing a different metasurface in front of a camera, researchers also can transform the log-polar image back into the original image with Cartesian coordinates. The invention has many ...