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Math Help - How do you rearrange this equation?

  1. #1
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    How do you rearrange this equation?

    Sorry if it seems basic but I do not know how I would go about rearranging the bellow equation for t. Any help would be much appreciated.
    x=t-2sin(t)

    Thanks,
    Z.C.
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: How do you rearrange this equation?

    You'll need a numerical method to solve this equation for t
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  3. #3
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    Re: How do you rearrange this equation?

    Thanks for the reply,

    I'm not 100% sure what a numerical method is... Could you please give an example?

    Thanks again,
    Z.C.
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  4. #4
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    Re: How do you rearrange this equation?

    Quote Originally Posted by Zack171195 View Post
    I'm not 100% sure what a numerical method is... Could you please give an example?
    Google "solving using numerical methods"
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  5. #5
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    Re: How do you rearrange this equation?

    Quote Originally Posted by Siron View Post
    You'll need a numerical method to solve this equation for t
    Wouldn't you need \displaystyle \begin{align*} x \end{align*} to be set equal to a NUMBER in order to use a numerical method?
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  6. #6
    MHF Contributor Siron's Avatar
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    Re: How do you rearrange this equation?

    Quote Originally Posted by Prove It View Post
    Wouldn't you need \displaystyle \begin{align*} x \end{align*} to be set equal to a NUMBER in order to use a numerical method?
    You're right, the solution space will be one-dimensional.
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  7. #7
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    Re: How do you rearrange this equation?

    Hello Again,
    ------------------------------------
    Skip to bottom if you don't like reading
    ------------------------------------
    I've been doing some stuff on this problem using excel. What I did was get values for t and solve for x then graph so as x was the x-axis and t the y-axis. This produced a function as shown in the first below graph (labelled original). The equation of this curve is the answer to my question however I do not know how to determine what its equation is. As seen using a linear approximation the gradient of the line is essentially: t=x. The actual equation is therefore actually modeled by: y=mx+c+k; where c=0, m=1, x=x and y=t: t=x+k. Therefore I figured in order to determine the actual equation of the curve I needed to find K. [k=t-x] Graphing this (K=y-axis and x=x-axis) gave the "New" function. I figured that K would be a simple sine function which I know how to regress the equation of visually, however as seen the function ("new" in the below image), is a skewed function. I have had no experience at all in determining the equation of a skewed sine function. So my question is:
    ------------------------------------------------------------------------------------------------------------------
    Could someone please tell me how I would go about determining the equation of the "New" function in the below graph?
    ------------------------------------------------------------------------------------------------------------------

    How do you rearrange this equation?-graph-1.png
    [First Graph]
    How do you rearrange this equation?-graph-2.png
    [Graph of "New" from first graph]

    Any help would be greatly appreciated.
    Thanks,
    Z.C.
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