Question

Show that spherical co-ordinate system is self-reciprocal.​

Answer 1

a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuthal angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane. It can be seen as the three-dimensional version of the polar coordinate system.

Answer 2

Answer:

A spherical coordinate system in mathematics is a three-dimensional coordinate system where a point's position is determined by three numbers.

Explanation:

• The azimuthal angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane. The three numbers represent the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and its azimuthal angle.
• It can be thought of as the polar coordinate system in three dimensions.
• The radius or radial coordinate are other names for the radial distance. The term "polar angle" can also refer to the zenith angle, the "normal angle," or the "inclination angle."
• The conventions of geographic coordinate systems state that latitude, longitude, and height are used to measure positions (altitude). Numerous celestial coordinate schemes based on various fundamental planes exist.

Thus, the two-dimensional polar coordinate system is generalised by the spherical coordinate system.

To know more on the spherical polar co-ordinate system, click on the below link

https://brainly.in/question/8918223

To know more on the phase diagrams, click on the below link

https://brainly.in/question/43322552