Rectangular + Spherical Conversions

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7 Terms

1
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ρ (rho) =

√(x² + y² + z²)

2
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ϴ (theta) =

tan-1(y/x)

3
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Φ (phi) =

cos-1(z/ρ)

4
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x =

ρcosϴsinΦ

5
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y =

ρsinϴsinΦ

6
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z =

ρcosΦ

7
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Restrictions on phi

0≤φ≤π