Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer.

Question

anonymous · Answer

For cartesian coordinates right?

anonymous · Answer

yeah it just asks for x(s,t), y(s,t) and z(s,t) and domains for s and t

anonymous · Answer

Ok, so do you agree that any point in the sphere can be described by the radius, the angle with the vertical (z axis) and the angle with the x axis?

anonymous · Answer

you mean spherical coordinates?

anonymous · Answer

|dw:1352234661079:dw||dw:1352234580778:dw||dw:1352234500805:dw|
Yes, thats exacly what I mean

anonymous · Answer

Your s and t will be those angles

anonymous · Answer

And you need to find the projection of the point in the xyz

anonymous · Answer

Its pretty much a transformation between spherical coordinates and cathesian coordinates

anonymous · Answer

Do you know how to proceed from here?

anonymous · Answer

yup thanks dude