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Post by Jm419 on Jun 25, 2010 22:09:40 GMT -5
Right. Lol.
Sin Theta - Cos Theta = 1. Or Cos Theta - Sin Theta = 1. I don't remember, lol. It's not a lot of fun, but if your mind works that way, it should be fine for you. Some of my classmates really enjoyed Trig.
You're Canadian, right? So do you speak French, as well as English?
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Post by bountyhunter9 on Jun 25, 2010 23:00:35 GMT -5
Lol. Is Theta like that Golden Ratio thing? Or am I thinking of something else?
I am Canadian, but I don't speak French. I can understand it, to some degree, because I've taken French in high school, but I can't speak or write it fluently. I do plan on learning the language outside of school, however.
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Post by Jm419 on Jun 26, 2010 17:28:00 GMT -5
No, theta refers to whatever angle you're using. For instance, sin30-cos30=1.
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Post by bountyhunter9 on Jun 26, 2010 20:53:04 GMT -5
Oh. Ok. Interesting.
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Post by Jm419 on Jun 26, 2010 21:18:59 GMT -5
Not really. Lol. You might enjoy it, though.
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Post by bountyhunter9 on Jun 26, 2010 21:50:25 GMT -5
LOL. Right, I forgot.
I was thinking of phi for the golden ratio, right? I got confused with it this year. We actually didn't do any work with it, but it was in our text book, so I took a peek at it while I should have been doing exam review (lol, that's what I do during those times; another thing I did during those boring review periods was come up with accurate substitutions for pi, in fraction form). But I got confused because the textbook used the capital letter phi to denote the golden ratio, while most mathematical sources use the lower case. So that was confusing. Thankfully we didn't have to use that this year.
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Post by Jm419 on Jun 27, 2010 12:41:10 GMT -5
Right. 1.618 to 1. It shows up everywhere - the height to width ratio of the pyramids, the length of the legs to the base of the triangle on the Parthenon...it's really fascinating.
What are those fractions? Lol. Those could be useful.
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Post by bountyhunter9 on Jun 27, 2010 14:47:17 GMT -5
It is. I'll probably work with it more next year, considering its importance in geometry.
Lol. I didn't have too much time to work with it, but this best fraction I came up with is really number-y:
70999994/22600000
=3.141592654867257
So compared to pi:
3.141592654867257
3.141592653589793
It's really close, but there are probably some 'smaller' fractions to work with. A much 'smaller' (but less accurate) fraction is 355/113, which is 3.141592920353982
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Post by Jm419 on Jun 27, 2010 21:58:41 GMT -5
Perhaps. We just talked about it - and really, it's just a concept.
Huh. That's pretty cool. I might use those.
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Post by bountyhunter9 on Jun 28, 2010 13:27:55 GMT -5
Yeah. I've read that it's more important in art than it is in mathematics, and I don't plan on pursuing a career in art, so it shouldn't apply to me too much.
Yeah. If you don't need the extra accuracy, 355/113 is an excellent substitution, as it's accurate to six decimals, while my long fraction is accurate to just two more decimals for more almost three times the numbers.
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Post by Jm419 on Jun 28, 2010 14:41:43 GMT -5
Exactly.
I might use that. Usually I just go with 3.14 in calculations, but 3.141592 is not a bad one either.
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Post by bountyhunter9 on Jun 28, 2010 14:50:39 GMT -5
Yeah, 3.14 will work in most situations. If only pi was exactly 3, like it was alluded to be in the Bible, life would be so much easier.
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Post by Jm419 on Jun 30, 2010 16:41:13 GMT -5
Where was it mentioned in the Bible? I'm not aware of that, lol. And I'm fairly well versed theologically.
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Post by bountyhunter9 on Jun 30, 2010 23:53:01 GMT -5
I don't remember the exact passage (I could look it up), but there is at least one part where a round basin at a temple in Jerusalem is described as having a diameter of 10 cubits and a circumference of 30 cubits.
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Post by Jm419 on Jul 1, 2010 0:22:14 GMT -5
Huh. It was implied. Cool, I never knew that.
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Man
