Learn how to generate random points inside a circle using Cartesian and polar coordinates. This video explains the mathematical reasoning, visual intuition, and common pitfalls, helping you understand ...

A coordinate system is a set of numbers that allows you to specify the location of a point in some space. The Cartesian coordinates is one such system, which uses a set of three numbers to specify the ...

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 ...