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**Subject**: **Re: Fun math puzzle: cin(X)**
**From**: Albert Chan <albertmcchan@...>
**Date**: Thu, 4 Apr 2019 06:09:26 -0400

> On Apr 4, 2019, at 3:03 AM, Dirk Laurie <dirk.laurie@gmail.com> wrote:
>
> Op Do. 4 Apr. 2019 om 01:14 het Albert Chan <albertmcchan@yahoo.com> geskryf:
>>
>> Comes across a fun math puzzle. :-)
>>
>> Design a function cin(X), such that cin(cin(cin(X))) = sin(X)
>>
>> cin(X) must be smooth function, and at least 10 digits accurate.
>>
>> In other words, cin(cin(cin(X))) / sin(X) = 1.00000 00000
>>
>> What is the value of cin(2.019) ?
>
> Since you post it on this list, one assumes that the calculation musr
> be done in Lua :-)
>
> Am I allowed the luxury of requiring luafft (available from LuaRocks)?
>
Yes, all help is allowed.
I use Mathematica to design and test for accuracy, before coding cin(X) in Lua.