Re: precision on all calcs

To: CALC-TI@LISTS.PPP.TI.COM
Subject: Re: precision on all calcs
From: jeffrey steven bunds <bunds@STUDENTS.UIUC.EDU>
Date: Tue, 24 Jun 1997 17:26:45 -0500
Comments: To: nospam@cyberg8t.com
In-Reply-To: <33B048E0.F3CE937B@cyberg8t.com>
Reply-To: jeffrey steven bunds <bunds@STUDENTS.UIUC.EDU>

Case closed.  Read on those of you who failed math. . . .


On Tue, 24 Jun 1997, Geoff H wrote:

> Neil,
>
> 3 = 2, for small values of 3 - but seriously, if x is small, sinx is
> approximately equal to x.
> Since pi/180 is small sin(pi/180) is approximately pi/180 so
> 180*sin(pi/180) is approximately
> equal to pi.  In fact a short pencil and paper calculation gives me:
>
> 3.1414331587110323074954161329369146450054896552851356830502369753075291567070526034093233
>
>
>
> Neil Padgett wrote:
>
> > Rigor Mortis <ksmith@CAPITOL-COLLEGE.EDU> muttered:
> >
> > ->Here's what i got for 180*sin 1
> > ->TI-85: 3.14143315871
> > ->HP48G: 3.14143315871
> > ->
> > ->Here's what i got for the constant pi
> > ->TI-85: 3.14159265359
> > ->HP48G: 3.14159265359
> >
> > Perhaps the polynomials used for sin/cos/tan are only accurate to a
> > certain degree? Still (see my previous message), the compounding of
> > these errors can yield unreliable or even DEAD WRONG results.
>

References:

Re: precision on all calcs

From: Geoff H <galois@cyberg8t.com>