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December 27th, 2012, 04:13 PM   #1
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angles

I was looking at methods of measuring pi arbitrarily and found this gem.

I thought to myself, hey that 239 sure looks familiar. I didn't understand that 4 in 4arctan(1/5) so I did the double angle thing twice on it.


Oh, yeah, I know where that came from now. Time to do the angle addition formula.


So, I guess this means there are infinite solutions just like this one for measuring pi.







Lots of 2arctans there, but I think there is only 1 4arctan. I've tried about 50 of the sequences just now. Maybe I'll have better luck if I tackle the 30/60
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December 28th, 2012, 04:07 PM   #2
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Re: angles

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December 28th, 2012, 05:04 PM   #3
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Re: angles

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