Question

the spherical coordinates for the point 0, -2, 0​

Answer 1

Step-by-step explanation:

Spherical coordinate system, In geometry, a coordinate system in which any point in three- dimensional space is specified by its angle

Answer 2

Concept:

A spherical coordinate system is a three-dimensional coordinate system in which a point's position is defined by three numbers: its radial distance from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuthal angle of its orthogonal projection.

Given:

The point (0, -2, 0).

Find:

The spherical points of the given point.

Solution:

The spherical point is in the form of (r, θ, Ф).

r = √(x²+y²+z²).

r = √[(0)²+(-2)²+(0)²]

r = 2.

θ = $tan^{-1}(\frac{y}{x})$.

θ = $tan^{-1}(\frac{-2}{0})$

θ = -90°.

Ф = $tan^{-1}(\frac{\sqrt{x^2+y^2} }{z})$.

Ф = $tan^{-1}(\frac{\sqrt{(0)^2+(-2)^2} }{0})$

Ф  = $tan^{-1}(\frac{2 }{0})$

Ф = 90°.

Hence, the spherical coordinates of the given point is (2, -90°, 90°).