3D coordinates on a sphere to Latitude and Longitude

Question

I\'ve got the following information:

There exists a sphere with origin (0,0,0) and radius R. After doing a ray-sphere intersection I know a point (XYZ) in 3D space t

Answer 1

r=sqrt(x^2+y^2+z^2)  
phi = arccos(sqrt(x^2+y^2)/r)*sign(y)  
lambda = arccos(x/sqrt(x^2+y^2))  
latitude = 180/pi * phi  
longitude = 180/pi * lambda 

you might have to tinker with the signs a little