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    Topin's Avatar
    Topin Posts: 1, Reputation: 1
    New Member
     
    #1

    Nov 11, 2007, 10:26 AM
    Rearranging an equation
    Hi,
    I currently have the equation:

    γ*tan(α) = sin(α') / (cos(α') + β)

    I was using α as the subject however in order to do my calculations I need α' to be the subject.
    Does anyone know how I could rearrange this to that I have one case of α' on its own?
    Thanks
    terryg752's Avatar
    terryg752 Posts: 197, Reputation: 4
    Junior Member
     
    #2

    Nov 14, 2007, 09:09 AM
    Let left hand side = J

    Let tan a` = x

    J = sin(α') / (cos(α') + β)

    = tan(a`)/(1 + β sec a`)

    J ((1 + β sec a`) = tan (a`)

    1 +β sec a` = 1/J tan (a`)

    β sec a` = 1/J tan (a`) - 1

    Squaring both sides, and let tan (a`) = x

    (sec^2 a` = 1 + tan^2 a`)

    β^2 (1 + x^2) = [ 1/J x - 1]^2

    This is a quadratic in x

    Find value of x and substitute value of J

    tan (a`) = x

    etc.

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