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LAST UPDATED: 21 Nov, 2022
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Convert rectangular to spherical coordinates using a calculator. using simple trigonometry, it can be shown that the rectangular rectangular coordinates ( x, y, z) and spherical coordinates ( ρ, θ, ϕ) in Fig.1 are related as follows: x = ρ ...
http://www.mathforengineers.com/math-calculators/rectangular-to-spherical-coordinates.htmlTo convert from polar to rectangular, find the real component by multiplying the polar magnitude by the cosine of the angle, and the imaginary component by multiplying the polar magnitude by the sine of the angle.
How to transform from Cartesian coordinates to spherical coordinates? We can transform from Cartesian coordinates to spherical coordinates using right triangles, trigonometry, and the Pythagorean theorem. Cartesian coordinates are written in the form (x, y, z), while spherical coordinates have the form (ρ, θ, φ).
To convert from polar to rectangular coordinates, use the trigonometric ratios and where r is the hypotenuse of the right triangle. The rectangular form of the polar coordinate (r, θ) is (rcos θ, rsin θ). To convert from rectangular to polar coordinates, use the Pythagorean Theorem and the trigonometric ratio.
Spherical coordinate system. In mathematics, 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 azimuth angle...
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