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Make x the subject of the equation.

  1. Oct 23, 2011 #1
    1. The problem statement, all variables and given/known data

    Make x the subject of the formula

    sin(5x-24)=0.6

    2. Relevant equations

    sin(5x-24)=0.6

    3. The attempt at a solution

    sin(5x-24)=0.6
    5x-24=sin^-1(0.6)
    x=(sin^-1(0.6)+24)/5
     
  2. jcsd
  3. Oct 23, 2011 #2
    You had it right I believe, what exactly is your question?

    sin(5x-24) = 0.6

    5x - 24 = arcsin(0.6)

    5x = 24 + arcsin(0.6)

    x = [24 + arcsin(0.6)] / 5

    X = ~12.174
     
  4. Oct 23, 2011 #3

    SteamKing

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    Or, if (5x-24) is measured in radians, x is about 4.93.
     
  5. Oct 23, 2011 #4

    eumyang

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    There should be an infinite number of solutions, shouldn't there? Remember that the range of the arcsin function is only [-π/2, π/2].
     
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