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Isolate x

  1. Jun 16, 2011 #1

    tony873004

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    This isn't homework, but I can't seem to access the math forum at the moment, so I thought I'd ask here.

    1. The problem statement, all variables and given/known data
    sin(x)/sin(x+215) = ab/cd.
    Solve for x

    2. Relevant equations
    Is there any property for sin x / sin y so I can simplify this?
     
  2. jcsd
  3. Jun 16, 2011 #2

    LCKurtz

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    Your equation has the form sin(x) = bsin(x+a) = bsin(x)cos(a) + bcos(x)sin(a)
    = bsin(x)(cos(a) + bsin(a))

    sin(x)(1-bcos(a)) = bcos(x)sin(a)
    [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)=\frac{b\sin(a)}{1-b\cos(a)}[/tex]

    You can now solve using the inverse tangent function.
     
  4. Jun 17, 2011 #3

    tony873004

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    Thanks LCKurtz!
     
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