POV-Ray : Newsgroups : povray.general : Math help : Re: Math help Server Time
30 Jul 2024 06:23:28 EDT (-0400)
  Re: Math help  
From: Slime
Date: 1 Sep 2009 01:08:32
Message: <4a9cac50$1@news.povray.org>
> Easier if at this step:
>
> sin(theta)/cos(theta)  = sin(theta)  * r2/r1
>
> You just cancel the sin(theta) term on each side, leaves you with:
>
> 1/cos(theta) = r2/r1

However, now that you've divided both sides by sin(theta), you're only 
solving the equation over values where sin(theta) is not 0. You have to 
check that possibility separately, and it looks like the equation is 
trivially true when sin(theta) = 0, or when theta = n*pi. (As well as the 
solution you gave.)

 - Slime
 [ http://www.slimeland.com/ ]


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