Re: Circle of Confusion Question

From: Sandy King ^lt;sanking@clemson.edu>
Date: 08/08/04-08:05:30 PM Z
Message-id: <a0602040fbd3c8c6261c9@[192.168.2.4]>

Ryuji, and Loris,

Thanks for the reply. Based on your comments I can see the error I made.

Best,

Sandty

>From: Sandy King <sanking@clemson.edu>
>Subject: Circle of Confusion Question
>Date: Sun, 08 Aug 2004 19:53:21 -0400
>
>> He provides the answer for this equation for a distance of 25 cm as a
>> linear measurement of 0.07mm, or 70 microns, and continues by noting
>> that the tangent of one minute of arc is roughly 0.00029. I have
>> worked this problem backwards several ways and still have not been
>> able to figure out how he determined that the tangent of one minute
>> of arc is 0.00029.
>
>What did you get? If you got tan 0.0167 = 0.0167, I suppose your
>calculator used radian as the unit of the angle while you assumed it
>was degree. You need to change the calculator's setting, or convert
>the unit before obtaining tangent. 180 degrees is exactly one pi
>radian.
>
>For such a small value like 1/60 of a degree, tan x is practically x
>where x is in radians. (That is, if alpha is the angle in degrees,
>tan alpha is very close to alpha/57.3.) This is obvious if you obtain
>Taylor series expansion of tan x around x = 0 (or Maclaurin
>expansion).
>
>--
>Ryuji Suzuki
>"You have to realize that junk is not the problem in and of itself.
>Junk is the symptom, not the problem."
>(Bob Dylan 1971; source: No Direction Home by Robert Shelton)
Received on Mon Aug 9 12:18:20 2004

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