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Suppose you are standing at a point on the equator of a

Question: Suppose you are standing at a point on the equator of a sphere, parameterized by spherical coordinates θ₀ and φ₀. If you go halfway around the equator and halfway up toward the north pole along a longitude, what are your new θ and φ coordinates?

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Mathematics: Suppose you are standing at a point on the equator of a

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