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I’m not sure why you’re saying its clocks that are wrong rather than the other stuff. Currently we have x = r cos(𝜃) and y = r sin(𝜃), and that’s what makes anti-clockwise rotations mathematically natural. But if we instead just used x = r sin(𝜃) and y = r cos(𝜃) then clockwise would be the natural positive rotation. And in that case, the unit circle would start at the top and go around clockwise… like we do for compass bearing (and clocks of course). So perhaps that would be better than changing what clocks do.
I’m not sure why you’re saying its clocks that are wrong rather than the other stuff. Currently we have x = r cos(𝜃) and y = r sin(𝜃), and that’s what makes anti-clockwise rotations mathematically natural. But if we instead just used x = r sin(𝜃) and y = r cos(𝜃) then clockwise would be the natural positive rotation. And in that case, the unit circle would start at the top and go around clockwise… like we do for compass bearing (and clocks of course). So perhaps that would be better than changing what clocks do.