(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The following equation describes a surface in spherical coordinates. θ =pi/4

Write the equation in the cartesian coordinates?

that is, (r,θ,Ø) to (x,y,z)

2. Relevant equations

x=rsinθcosØ

y=rsinθsinØ

z=rcosθ

r=sqrt(x^2+y^2+z^2)

θ=cos^-1(z/r)

Ø=tan^-1(y/x)

3. The attempt at a solution

I'm pretty stumped. The only start I can get is that if θ=pi/4, this means that r and phi have to work around this. Allowing r to be from 0 to infinity. I'm not really sure what happens to phi. I'm thinking that it can be anywhere from 0 to 2pi.

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# Homework Help: Expressing a surface in cartesian coordinates from spherical

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