# Tagged Questions

Questions on spherical coordinates, a three-dimensional coordinate system where a point is represented in terms of its distance from the origin, and its latitude and longitude angles (or complements thereof).

22 views

5k views

### Rotation matrix in spherical coordinates

When given arbitrary point on a unit sphere $a = (\theta, \phi)$ and an arbitrary axis $\vec{A}=(\Theta, \Phi)$, can we have an algebraic expression for $a_1=(\theta_1, \phi_1)$ which is a rotation of ...
4k views

### Rotating a point in spherical coordinates around Cartesian axis

If I have a point in spherical coordinates, and I rotate it around one of the Cartesian axes, what will be the new spherical coordinates for the point? Both spherical and Cartesian coordinate systems ...
16 views

### Equation in Spherical Coordinates

I have been given this equation: $$\rho = \cot (\phi)$$ I have been asked to "describe it in spherical coordinates", giving a verbal explanation. My work: I assume that the equation is given in ...
29 views

26 views

### Converting coordinates

I am having huge trouble converting between cartesian to polar and to spherical. I need these methods for my limits of integration in most cases but using the formulas never seem to work, I just ...
37 views

13 views

19 views

### sphere centered at 1,1,0 prametrization

spherical equation is usually as $\,x^2+y^2+z^2=1$ centered at (0,0,0) and we know this $\,\rho=\sqrt{1} , \,x=\rho\sin\phi\cos\theta , \,y=\rho\sin\phi\sin\theta , \,z=\rho\cos\phi$ the ...
how to write the limits for the integration in spherical coordinates to get the volume of 1- the solid inside the cylinder $$r= \sin(\theta)$$ bounded from above by $$z=\sqrt{1-x^2-y^2}$$ and ...