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Re: trying to understand why I get 2.2204e-16 rather than 0


From: Dmitri A. Sergatskov
Subject: Re: trying to understand why I get 2.2204e-16 rather than 0
Date: Wed, 3 Aug 2016 20:59:15 -0500

On Wed, Aug 3, 2016 at 7:41 PM, naryana.shankara <address@hidden> wrote:
If I enter cot (pi/4)-1 I get 2.2204e-16
>From my trig days I remember cot (pi/4) is 1 and 1-1 is 0
Octave also confirms cot (pi/4) is 1 and 1-1 is 0


octave:6> format hex
octave:7> 1
ans = 3ff0000000000000
octave:8> cot(pi/4)
​​
ans = 3ff0000000000001

 
so why does Octave spit out 2.2204e-16 when cot(pi/4)-1 is entered?

https://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html
 

​Dmitri.
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