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Why is the polar coordinate system in mathematics different from the polar axis in college physics?
None of them got to the point. This θ is actually tanθ, because when tanθ is infinite, Taylor expansion is approximately equivalent to θ(tanx=x+ 1/3x? +... only take the first term) Here θ can be regarded as infinitesimal if the derivative is taken, so rtandθ=rdθ.