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 ...

In this video we will learn about the Cartesian System of Geometry in which the coordinate plane is divided by the x and y axis. A Cartesian system is the one which specifies a point plotted uniquely ...

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 ...

"Coordinates for the CNC Lathe" provides an overview of the coordinates used to program cutting operations on CNC lathes or turning centers. It introduces the systems of both Cartesian and polar ...

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 with θ. The information about how r ...