Spherical Coordinate

Definition

A point $(p,\theta ,\varphi )$ where Cartesian Coordinate $(x,y,z)=(p\sin \varphi \cos \theta ,p\sin \varphi \sin \theta ,p\cos \varphi )$ Where:

• $0\le p$ - defined as distance from origin or 3D radius
• $0\le \theta \le 2\pi$ - defined as distance from positive x-axis to y-axis
• $0\le \varphi \le \pi$ - defined as distance measured from positive z-axis to p