The discussion revolves around identifying surfaces in spherical coordinates, specifically the equation ρ = sin(θ) * sin(φ). Participants are exploring the relationship between spherical and Cartesian coordinates.
Participants are actively engaging with the problem, sharing their attempts and seeking clarification on the conversion process. There is a recognition of the need for additional equations that relate spherical to rectangular coordinates, indicating a productive exploration of the topic.
There is mention of known outcomes related to the problem, such as the expected sphere characteristics, but these are not being resolved within the discussion. Participants are focused on the conversion process and the underlying assumptions of the spherical coordinates.
What are the other equations that relate spherical to rectangular coordinates?josh28 said:Homework Statement
\rho = sin\theta * sin\phi
Homework Equations
I know that \rho^{2} = x^{2} + y^{2}+z^{2}
josh28 said: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.