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Chapter 13: Q 10. (page 1066)

To convert from spherical to rectangular coordinates:

x=-----,y=-----,z=-----

Short Answer

Expert verified

x=蚁sin蠒cos胃,y=蚁sin蠒sin胃,z=蚁cos蠒

Step by step solution

01

Given Information

Givenx,y,zare rectangular coordinates and蚁,胃,蠒are spherical coordinates.

02

Simplification

x,y,zare rectangular coordinates and localid="1651603565768" 蚁,胃,蠒are spherical coordinates.

The relation is as below:

localid="1653232572011" role="math" x=蚁sin蠒cos胃,y=蚁sin蠒sin胃,z=蚁cos蠒

Hence,
x=蚁sin蠒cos胃

y=蚁sin蠒sin胃

andz=蚁cos蠒

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