1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    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).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted