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dan19_83

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Posts posted by dan19_83

  1. Indeed. [math]2\sin(a)\cos(a) = \sin(2a)[/math]. Substitute this directly into your formula and use the fact that [math]\cos^2(x) = 1 - \sin^2(x)[/math'].

     

     

    That would work except that he is looking for it in terms of Sin(a) and not Sin (2a).

    I've really gotta learn how to put in those fancy formulas!

  2. Using the formula that Sin2(a) = 2Sin(a)Cos(a)

     

    Bring the 2 outside the bracket and multiply by the 8:

    16[(Sin(a)Cos(a))^2]-4

     

    Then you multiply the Sin(a)Cos(a) by itself and this changes the formula to:

    16[sin^2(a) + 2Sin(a)Cos(a) + Cos^2(a)]-4

     

    Since Sin^2(a) = 1- Cos^2(a) The formula changes to:

    16[1- Cos^2(a) + 2Sin(a)Cos(a) + Cos^2(a)]-4

     

    The two Cos^2(a) cancels leaving:

    16[1 - 2Sin(a)Cos(a)]-4

     

    Multply out and you get:

    16 - 32Sin(a)Cos(a) -4

     

    Leaving you with an answer of:

    12 - 32Sin(a)Cos(a)

     

     

    I hope this makes sense to you because as you may have figured out, i don't know how to put in ^2, which would make it easier to read.

     

    Anyway if you don't understand it, just say the word and i will happily try and re-do it in a better format.

  3. Yeah, there's no doubt about it: this forum is getting used quite a lot. The trouble is that this forum was originally created to host the math brainteasers and whatnot (but we now have a seperate brainteaser forum :)). Since a lot of the posts here aren't of that nature anymore, it would make more sense to me to just merge everything in here with the General Maths forum.

     

     

    Since math teasers are being done in the brainteasers section then it should be merged with gen. maths.

  4. If you saw the shot you'd know it didn't spin.

    The commentators were calling it one of the greatest shots of all time and i tend to agree.

    It actually just stopped for maybe a second ans a half and then fell. the crowd were going nuts and when it dropped, the place went wild.

     

    Maybe ed84c is right. it was on a bit of a downslope so gravity just took a while to kick in!!

  5. For anyone that saw Tiger Woods' super putt yesterday in the masters.

     

    It just stopped for a second before it went down the hole. I mean the ball did actually stop for a second or two. The question is:

    Did the ball fall due to gravity or do you think that the crowd roaring caused vibrations and the ball fell?

     

    I think it may have been a bit of both.

  6. Paddy Englishman, Paddy Irishman and Paddy Scotsman all worked on a building site.

    One day they were on the tenth floor having their lunch when Paddy Scotsman says:

    'Ham sandwiches. My wife has been giving me ham sandwiches for the last ten years, I'm sick of it.' With that he jumps off the building and kills himself.

     

    Paddy Englishman opens his lunch box and sees cheese sandwiches. He says:

    'Chesse sandwiches. My wife has been making me cheese sandwiches for the last ten years, I'm sick of it.' Again he jumps off and kills himself.

     

    Paddy Irishman then opens his luch and sees turkey sandwiches. Once again he says:

    'Turkey sandwiches. I've been getting Turkey sandwiches for the last ten years, i'm sick of it.' And yet again he jumps off and kills himself!

     

    Anyway all three wives are at the funerals.

    Paddy Scotsman's wife says: 'If only he had said something, I would have stopped making ham sandwiches.'

    Paddy Englishman's wife says: 'If only he had said something, I would have stopped making him cheese sandwiches.

     

    Paddy Irishman's wife then says: 'Ye think that ye had problems. My husband made his own sandwiches!!!'

  7. I remember talking about this in my psycology class.

     

    Isn't it that when the information gets old' date=' or is deemed useless, the gleal(sp?) cells come and clear out the information from the nerve cell?

     

    .... anyway, I think I remember hearing that ... or maybe I forgot...[/quote']

     

     

    But if the cells have been cleared out then how do you remember it again?

  8. 1.Dick points out that the planes are 50 yards away, then says "practically", surely he means literally?

     

    Don't you say 'it's practically 50 yards away' when you are not sure of the exact distance?

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