- If , and , then prove that is independent of and…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

- If

x = r \sin \theta \cos \phi

,

y = r \sin \theta \sin \phi

and

z = r \cos \theta

, then prove that

x^2 + y^2 + z^2

is independent of

\theta

and

\phi

.

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