We should be teaching trigonometry and the unit circle in terms of tau instead of pi, that is, since the mathematically natural angle measure is radians (not diameters), we should express radians in terms of the ratio of the radius to the circumference, instead of the ratio of the diameter to the circumference, which adds a spurious factor of 2 everywhere.
The choice of pi in the first place was due to path dependency, and is now extremely entrenched. (Nearly?) all of our textbooks use pi and all our school graphing calculators have a pi button. Python, however, is more enlightened.
We should be teaching trigonometry and the unit circle in terms of tau instead of pi, that is, since the mathematically natural angle measure is radians (not diameters), we should express radians in terms of the ratio of the radius to the circumference, instead of the ratio of the diameter to the circumference, which adds a spurious factor of 2 everywhere.
The choice of pi in the first place was due to path dependency, and is now extremely entrenched. (Nearly?) all of our textbooks use pi and all our school graphing calculators have a pi button. Python, however, is more enlightened.