171k views
5 votes
Find an equation in spherical coordinates for the surface represented by the rectangular equation?

User Roming
by
7.7k points

1 Answer

3 votes

Final answer:

To convert a rectangular equation to a spherical equation, substitute the expressions for x, y, and z in terms of r, theta, and phi into the equation.

Step-by-step explanation:

In spherical coordinates, the relationship between the rectangular coordinates (x, y, z) and the spherical coordinates (r, theta, phi) is given by:

x = r * sin(theta) * cos(phi)

y = r * sin(theta) * sin(phi)

z = r * cos(theta)

So, to convert a rectangular equation to a spherical equation, substitute the expressions for x, y, and z in terms of r, theta, and phi into the equation.

User Dularie
by
7.6k points