The equation in rectangular coordinates is r² = x² + 49
Spherical coordinates are the coordinates in a three-dimensional space, used to represent a point using three numbers.
The equations used to convert from spherical coordinates to rectangular coordinates are
x=ρsinφcosθ
y=ρsinφsinθ
z=ρcosφ
The equation given is ρ = 7 csc ( ϕ ) csc ( θ )
ρ = 7/(sin( ϕ ) sin ( θ ) )
ρsin( ϕ ) sin ( θ ) = 7
This is similar to y=ρsinφsinθ
Therefore y =7
The equation in rectangular coordinates is r² = x² + 49
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