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Convert the Cartesian coordinates (3, -2, 4) to cylindrical coordinates.
Convert the Cartesian coordinates (3, -2, 4) to cylindrical coordinates.
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Koala Tutor
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To convert Cartesian coordinates to cylindrical coordinates, we will use the following formulas:
ρ = √(x² + y²)
θ = arctan(y / x)
z = z
Using the given Cartesian coordinates (3, -2, 4):
ρ = √(3² + (-2)²)
ρ = √(9 + 4)
ρ = √(13)
θ = arctan((-2) / 3)
θ ≈ -0.588
z = 4
Therefore, the cylindrical coordinates are (√13, -0.588, 4).
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