Re: sin x / x tends to 1...



David C. Ullrich wrote:
> On Sat, 3 Sep 2005 13:22:46 +0000 (UTC), Darren J Wilkinson
> <d.j.wilkinson@xxxxxxxxx> wrote:
>
> >... We define a radian to
> be that angle such that a circular sector with
> radius 1 and opening one radian has area 1. ...


I think you mean "... has area 1/2 ...", but nitpicking aside, this is
an excellent post.

.



Relevant Pages

  • Re: sin x / x tends to 1...
    ... >circular sector, one must know the area of a circle. ... sector is proportional to the angle. ... radius 1 and opening one radian has area 1. ...
    (sci.math)
  • Re: sin x / x tends to 1...
    ... >We define the sine of ... >an _angle_ geometrically. ... >radius 1 and opening one radian has area 1. ...
    (sci.math)
  • Re: sin x / x tends to 1...
    ... > We assume that the area of a circular sector is ... > proportional to the angle. ... We define the sine of ... > radius 1 and opening one radian has area 1. ...
    (sci.math)
  • Re: why not sin:[0,1)->[0,1] ?
    ... >> radian is a unit devoid of all intuition. ... >> see to the standard definition is that for a circle of radius 1, ... >> Is there a fundamentally deeper benefit to the standard definition? ... has to grapple with what angle measure "is". ...
    (sci.math)
  • Re: sin x / x tends to 1...
    ... >>radius 1 and opening one radian has area 1. ...
    (sci.math)

Loading