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B Help simplifying an equation

  1. Sep 23, 2017 #1

    rede96

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    Gold Member

    Hi, just wondering if anyone could help me simplify (if possible) the following two equations.

    x = sin((cos(((1-(cos(θ/2)^2))*360)/2)+1)/2*θ)*(d/2)

    x = cos((cos(((1-(cos(θ/2)^2))*360)/2)+1)/2*θ)*d/2)*2

    My math is pretty crap, so any help would be appreciated.

    Thanks
     
  2. jcsd
  3. Sep 23, 2017 #2

    mfb

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    2016 Award

    Staff: Mentor

    Apart from some formatting and ##1-\cos^2(x) = \sin^2(x)## , there is not much to simplify. It has an interesting contour plot, however.
     
  4. Sep 23, 2017 #3

    rede96

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    Gold Member

    Oh well, will have to use them in the current form. Thanks anyway.

    If you don't mind me asking (as I really am crap at math) why is the contour plot interesting?
     
  5. Sep 23, 2017 #4

    fresh_42

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    It looks like right from a seismograph or a piece of modern art.
     
  6. Sep 23, 2017 #5

    Math_QED

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    Tbh, I didn't see anything special in it either.
     
  7. Sep 23, 2017 #6

    fresh_42

    Staff: Mentor

  8. Sep 26, 2017 #7
    I typed your equation and "simplify" into wolframalpha, and this is what I got
    It has a simpler looking form for x, d and theta real.
     
  9. Sep 26, 2017 #8

    DrClaude

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    Staff: Mentor

    My guess is that this is incorrect, as the 360 smells of degrees, leading to a much too rapid oscillation and a crappy contour plot. Change the 360 to 2*pi and you get something much more banal.

    This is the same result as
     
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