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Homework Help: Solve this equation

  1. Oct 27, 2008 #1
    1. The problem statement, all variables and given/known data

    sin y = .814 - 7.718 * sin x

    Solve for y

    2. Relevant equations

    3. The attempt at a solution

    I know the answer to the solution is y = 24.079 (sin1.751x - .138) + 17.711

    I do not know the work to get here though...
  2. jcsd
  3. Oct 28, 2008 #2


    Staff: Mentor

    Well, the obvious thing to do is take the inverse sine of both sides.
    That would give you sin^(-1)(sin (y)) = sin^(-1)(.814 - 7.718*sin(x))

    IOW, y = sin^(-1)(.814 - 7.718*sin(x))

    The graph of this function is nothing like the graph of what you gave as the solution, so I would have to ask you why it is that you know that y = 24.079 (sin1.751x - .138) + 17.711 is the solution.
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