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Cylindrical
x =
r cos θ
Cylindrical
y =
r sin θ
Cylindrical
z =
z
Cylindrical
r =
sqrt(x^2 + y^2)
Cylindrical
θ =
arcsin (y / sqrt(x^2 + y^2)
Cylindrical
z =
z
Spherical
x =
ρ sinϕ cosθ
Spherical
y =
ρ sinϕ sinθ
Spherical
z =
ρ cos ϕ
Spherical
ρ =
sqrt(x^2 + y^2 + z^2)
Spherical
θ =
arcsin (y/ sqrt(x^2 + y^2))
Spherical
ϕ =
arcsin (sqrt(x^2 + y^2)/ sqrt(x^2 + y^2 + z^2))
Cylindrical --> Spherical
ρ =
sqrt(r^2 + z^2)
Cylindrical --> Spherical
θ =
θ
Cylindrical --> Spherical
ϕ =
arctan (r / z)
Spherical --> Cylindrical
r =
ρ sin ϕ
Spherical --> Cylindrical
θ =
θ
Spherical --> Cylindrical
z =
ρ cos ϕ
Note 
Flashcard (116)