Final answer:
To find an equation in rectangular coordinates for the given equation in spherical coordinates, use the relationship between spherical and rectangular coordinates.
Step-by-step explanation:
To find an equation in rectangular coordinates for the given equation in spherical coordinates, we need to use the relationship between spherical and rectangular coordinates. In spherical coordinates, the radial coordinate is denoted by r, the polar angle is denoted by φ, and the azimuthal angle is denoted by θ.
The relationship between spherical and rectangular coordinates is given by:
x = r sin(φ) cos(θ), y = r sin(φ) sin(θ), z = r cos(φ).
For the given equation φ = 6, we can substitute this value in the equation to get the rectangular coordinates.
Since φ = 6, the equation becomes:
x = r sin(6) cos(θ), y = r sin(6) sin(θ), z = r cos(6)