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Thread: Trig Question

  1. Sep 12th, 2002, 08:22 PM #1
    SilverSprite
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    Trig Question

    Find x where arc denotes the principal value.
    x= cos(arcsin(4/5)+arctan(4/5))
    YL says:"Few are those who see with their own eyes and feel with their own hearts."(Einstein)
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  2. Sep 13th, 2002, 02:38 AM #2
    DiGiTaIErRoR
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    x=-.031234752378
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  3. Sep 13th, 2002, 03:23 PM #3
    SilverSprite
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    did you use a calculator?show me the math!lol
    YL says:"Few are those who see with their own eyes and feel with their own hearts."(Einstein)
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  4. Sep 14th, 2002, 09:36 AM #4
    SilverSprite
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    Nobody answered this question either?
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  6. Sep 14th, 2002, 11:14 AM #5
    bugzpodder
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    -sqrt(41)/205
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    The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
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  7. Sep 14th, 2002, 11:56 AM #6
    SilverSprite
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    post your proof
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  8. Sep 14th, 2002, 12:15 PM #7
    mmiill
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    !

    let

    sin a =4/5
    tg b=4/5

    cos(a+b)= cos a cos b - sin a sin b

    sin a = 4/5 => cos a = 3/4

    sin b = 4/5 cos b
    sin ^2 b + cos^2 b = 16/25 cos^2 b + cos^2 b =1

    41/25 cos^2 b= 1

    cos^2 b= 25/41

    .

    .
    .
    .
    .

    etc.
    mm
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