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Solve for x

  1. Mar 23, 2015 #1
    1. The problem statement, all variables and given/known data
    Suppose I have the following expression:

    k + sin(g-x)= x-c

    where k, g, c are constants, how can I solve for x?

    2. Relevant equations


    3. The attempt at a solution
    I don't think trig identities will help me in this case. If I square both sides then I get more junk.
     
  2. jcsd
  3. Mar 23, 2015 #2
    Draw the graph for sin(a-x) then draw the graph for b+sin(a-x)
    Draw the graph for x-c
    find points of intersection.
     
  4. Mar 23, 2015 #3

    joshmccraney

    User Avatar
    Gold Member

    This is a transcendental equation, and is pretty tough to solve. First, rewrite it as ##\sin (g-x)= x+c_1## where ##c_1 := -c-k##. What kind of solution are you looking for? If graphical works (sometimes it's all that's required) make a plot and let ##f=\sin (g-x)## and ##g=x+c_1## and look for their intersection.

    If this isn't what you're looking for you can try using Newton's method (I assume you may use calculus).
     
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