   Chapter 11.7, Problem 40E

Chapter
Section
Textbook Problem

# Spherical-to-Rectangular Conversion In exercises 35-40, convert the point from spherical coordinates to rectangular coordinates. ( 6 , π , π 2 )

To determine

To calculate: The conversion of the point (6,π,π2) from spherical coordinated to rectangular coordinates.

Explanation

Given:

The spherical coordinate is:

(6,π,π2)

Formula used:

x=ρsinφcosθ,y=ρsinφsinθ and z=ρcosφ

Calculation:

Consider the spherical coordinate is;

(6,π,π2)

Now, for (6,π,π2)=(ρ,θ,φ)

Since, x=ρsinφcosθ

Here,

ρ=6,θ=π,φ=π2

Substitute the value of x,

x=6sin(π2)cos(π)

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