Identifying Surfaces in Spherical Coordinates

  • Thread starter josh28
  • Start date
  • #1
4
0

Homework Statement


[tex]\rho = sin\theta * sin\phi[/tex]


Homework Equations


I know that [tex]\rho^{2} = x^{2} + y^{2}+z^{2}[/tex]


The Attempt at a Solution


I tried converting it to cartesian coordinates but I can't seem to get a workable answer that way. I know that the answer is the sphere with radius 1/2 and center (0,1/2,0) but I have no idea how to get there.

Thank you!
 
Last edited:

Answers and Replies

  • #2
34,553
6,268

Homework Statement


[tex]\rho = sin\theta * sin\phi[/tex]


Homework Equations


I know that [tex]\rho^{2} = x^{2} + y^{2}+z^{2}[/tex]
What are the other equations that relate spherical to rectangular coordinates?

The Attempt at a Solution


I tried converting it to cartesian coordinates but I can't seem to get a workable answer that way. I know that the answer is the sphere with radius 1/2 and center (0,1/2,0) but I have no idea how to get there.
Multiply each side of this equation by rho.
[tex]\rho = sin\theta * sin\phi[/tex]

After that, use the conversion equations to convert everything to rectangular coordinates.
 
  • #3
4
0
Thank you!
 
  • #4
34,553
6,268
Sure - you're welcome!
 

Related Threads on Identifying Surfaces in Spherical Coordinates

Replies
2
Views
5K
Replies
3
Views
1K
Replies
2
Views
2K
Replies
5
Views
7K
Replies
7
Views
976
Replies
3
Views
935
Replies
8
Views
4K
  • Last Post
Replies
3
Views
1K
Replies
3
Views
758
  • Last Post
Replies
7
Views
7K
Top