click below
click below
Normal Size Small Size show me how
Calculus Coordinates
Spherical and Cylindrical Coordinates
Question | Answer |
---|---|
Cylindrical => Rectangular | x = rcosθ y = rsinθ z = z |
Cylindrical => Spherical | ρ = √r^2 + z^2 θ = θ tanϕ =r/z |
Rectangular => Cylindrical | r = √x^2 + y^2 tanθ = y/x z = z |
Rectangular => Spherical | ρ = √x^2 + y^2 + z^2 tanθ = y/x cosϕ = z/√x^2 + y^2 + z^2 |
Spherical => Cylindrical | r = ρsinϕ θ = θ z = ρcosϕ |
Spherical => Rectangular | x = ρsinϕcosθ y = ρsinϕsinθ z = ρcosϕ |