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Simplify
Artik Phrost
Posts: 4, Reputation: 1
New Member
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1
Jan 15, 2007, 12:42 PM
Simplify
I have a problem:
x/ the square root of (4-x^2)
x is = to 2cos theta. I was wondering if I could simplify the denominator to the square too of 4, which is 2, minus the square root of 2cos^2, which is 2cos.
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Artik Phrost
Posts: 4, Reputation: 1
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2
Jan 15, 2007, 12:43 PM
If I am able to my final answer would be cos/ 1-cos.
Did anyone else get this answer?
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Capuchin
Posts: 5,255, Reputation: 656
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3
Jan 15, 2007, 12:50 PM
You cannot separate square roots under addition like this, for example root(4+9) = root(13) is not the same as root4 + root9 = 5
Capuchin
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Artik Phrost
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4
Jan 15, 2007, 12:55 PM
So if I were to simplify it I would get 2cos/ 2 times the square root of (2-cos^2). Then I could simplfy that to cos/ the square root of (2-2cos^s)?
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Elisha Grey
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5
Jan 16, 2007, 07:25 PM
sqrt (4 - x**2) = sqrt (4 - (2 cos theta)**2) = sqrt (4 - 4 cos**2 theta) =
sqrt (4 (1 - cos**2 theta)) = sqrt (2**2 sin**2 theta) = 2sin theta
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Capuchin
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Jan 16, 2007, 11:23 PM
Hi Elisha, this ** stuff is confusing me. The generally accepted notation for raising to a power is ^. Just for your information :)
Or you can use LaTeX, there's a post about it at the top of the maths forum
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cool_dude
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7
Jan 17, 2007, 05:59 PM
Capuchin I think the reason Elisha uses ** to represent power is because in the programming language Turing to make powers they use **.
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