Chapter 15, Problem 13RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

The spherical coordinates of a point are (8, π/4, π/6). Find the rectangular and cylindrical coordinates of the point.

To determine

**To find:** The corresponding cylindrical and rectangular coordinates for the given spherical coordinates.

Explanation

**Formula used:**

The cylindrical coordinates

The rectangular coordinates

**Given:**

The spherical coordinates

**Calculation:**

From the given conditions, it is observed that

Then, by the formula (2) mentioned above, the *x*- value is,

The *y*- value is,

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