Spherical Coordinates – Formulas and Diagrams

Spherical Coordinates – Formulas and Diagrams

A coordinate system is defined as a way to define and locate a point in space. The most widely used three-dimensional coordinate system is the Cartesian system, which has the form (x, y, z). However, there are alternative systems that may be more convenient depending...
Cylindrical coordinates – Formulas and diagrams

Cylindrical coordinates – Formulas and diagrams

Coordinate systems can be defined as ways of locating points in space. In three-dimensional space, the Cartesian coordinate system has the form (x, y, z). However, this system is not always the most convenient, so we have alternative coordinate systems. One of these...
Cartesian to Cylindrical Coordinates – Formulas and Examples

Cylindrical to Cartesian coordinates – Formulas and Examples

Cylindrical coordinates have the form (r, θ, z), where r is the distance in the xy plane, θ is the angle formed with respect to the x-axis, and z is the vertical component in the z-axis. Similar to polar coordinates, we can relate cylindrical coordinates to Cartesian...
Polar Coordinates – Formulas and Diagrams

Polar Coordinates – Formulas and Diagrams

Coordinate systems are simply ways to define a point in space. The Cartesian coordinate system, which has the form (x, y), is the most widely used coordinate system. However, it is not always the most convenient coordinate system. An alternate system is the polar...
Rectangular to Polar Coordinates – Formulas and Examples

Rectangular to Polar Coordinates – Formulas and Examples

Polar coordinates are written in the form (r, θ), where r is the distance and θ is the angle. These coordinates can be related to rectangular or Cartesian coordinates using trigonometry, a right triangle, and the Pythagorean theorem. It turns out...