- #1
tnutty
- 326
- 1
Homework Statement
change from rectangle to spherical coordinate :
z^2 = x^2 + y^2
I know that :
z = pcos(phi)
x = psin(phi)cos(theta)
y = psin(phi)sin(theta)
there fore
z^2 = x^2 + y^2 in spherical coordinate is
p^2cos(phi)^2 = (psin(phi)cos(theta))^2 + (psin(phi)sin(theta))^2
=
cos^2(phi) = sin^2(phi)*cos^2(theta) + sin^2(phi)*sin^2(theta)
=
cos^2(phi) = sin^2(phi) + sin^2(phi)
=
cos^2(phi) = 2*sin^2(phi)
But the book has it as : cos^2(phi) = sin^2(phi) ?? what gives?