   Chapter 11.7, Problem 32E

Chapter
Section
Textbook Problem

# Rectangular-to-Spherical Conversion In Exercises 29-34, convert the point from rectangular coordinates to spherical coordinates. ( 2 , 2 , 4 2 )

To determine

To Calculate: The points in spherical co-ordinates with the help of rectangular co-ordinates (2,2,42).

Explanation

Given:

The points in rectangular co-ordinates, (2,2,42)

Formula used:

Rectangular co-ordinates to spherical co-ordinates conversion formula,

ρ2=x2+y2+z2, tanθ=yx And ϕ=arccos(zx2+y2+z2).

Calculation:

Consider the equation to calculate first co-ordinate,

ρ2=x2+y2+z2

Put the values of co-ordinates,

ρ2=22+22+(42)2ρ2=40ρ=210

Consider the equation to calculate second co-ordinate

tanθ=yx

Put the value

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