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That's why I put "directly" in my original post. All the nice functions in calculus rely on that fact, but that fact itself is almost never used or useful by itself .

If I were writing the article I would focus on the benefits for derivatives and integration and other things that are slipping my mind at the moment. I wouldn't waste time going down the rabbit hole of why.

At least not for an article aimed at this type of audience.

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Your awareness of a key relationship does not make it irrelevant. It happens all the time in math.

the article acts like radians are arbitrary without discussing this key property.

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