Convert equation from cartesian to spherical

[glog]

This should be relitively simple:

y = x ... convert to spherical coords:

p*sin(r)*sin(t) = p*sin(r)*cos(t)

which reduces to...

sin(t) = cos(t)

tan(t) = 1 (is this right?)
t =~ 0.78... (Can i get a nice fraction for this?)

Any help is appreciated.

- glog

 

[rootX]

Looks good to me.

pi/4

you simply substitute and simplify.

 

[HallsofIvy]

in other words, "y= x" in spherical coordinates reduces to the set of points where t= \theta= \pi/4, r= \phi and p= \rho can be anything. Do you see that that is, in fact, the same as the plane y= x?

 

[glog]

yep makes perfect sense...
only one angle is fixed :)