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awarded  Popular Question
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accepted Why are radians more natural than any other angle unit?
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comment Why are radians more natural than any other angle unit?
When you say 1 angular unit = 1 always, this means 1 degree = 1 always ($n=360$), right? And when $n=2\pi$ we have 1 radian = 1 always. Why isn't it valid to compare them and say 1 radian = 1 = 1 degree, if we have used the word 'always'?
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awarded  Commentator
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comment Why are radians more natural than any other angle unit?
Okay. If I'm not misunderstanding, doesn't this mean Physikslover is incorrect in saying it depends on the system, since 1 radian isn't the same as 1 degree?
Aug
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comment Why are radians more natural than any other angle unit?
Would $1\,\textrm{rad}=1$ be false inside the degrees system? Therefore the truth of $1\,\textrm{rad}=1$ is social, and David Zaslavsky's statement that 'degree' is a fancy name for $\frac{\pi}{180}$ is only true inside the radians system? (sorry for continuing with all these questions. I'm genuinely just trying to understand)
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awarded  Editor
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revised Why are radians more natural than any other angle unit?
Corrected the limit equation and expanded the last paragraph.
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awarded  Supporter
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asked Why are radians more natural than any other angle unit?