Sketch the graph of the curve whose equation in polar coordinates is \(r=3\cos 3\theta\text{.}\) Sketch the curve whose polar equation is \(r=-1+\cos \theta\text{,}\) indicating any symmetries. Mark ...

Polar Curves and Cartesian Graphs. To sketch the graph of a polar equation a good first step is to sketch the graph in the Cartesian coordinate system. This will give a way to visualize how r changes ...

And as we go into February, an even trickier complication enters the equation: the ever-capricious polar vortex. Over the past week, Arctic cold has swallowed much of the nation’s heartland.

With the polar form of complex numbers established, the matter of Euler’s Identity is merely a special case of a+bi for a = -1 and b = 0. Consequently for the polar form re iφ , this makes r ...