subexpressions (OT: math)

Steven D'Aprano steve at
Mon Jun 4 01:24:03 CEST 2007

On Sun, 03 Jun 2007 11:26:40 -0700, Stebanoid at wrote:

> if you are discordant read more :P :
> sine is a dimensionless value.
> if we expand sine in taylor series sin(x) = x - (x^3)/6 + (x^5)/120
> etc.
> you can see that sin can be dimensionless only if x is dimensionless
> too.
> I am a professional physicist and a know about what I talk

I am confused why you get different results for the square root of an
angle depending on whether you use degrees or radians:

sqrt(25°) = 5° = 0.087266462599716474 radians
sqrt(25*pi/180) = 0.66055454960100179 radians

If angles are dimensionless numbers, then:


should equal 


but they don't.

How do you interpret the square root of an angle? What does it mean?


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