Solution for the trignometric equation I am looking for a solution for an equation of the form :
$ax - \sin(bx) + c = 0$. Without the constant term $c$, I can easily take a derivative to get the solution. But how do I take into account the constant?
This gives me the answer, but how do I find the solution?


$x=-\dfrac ca+\dfrac1a\cdot\sin\bigg(-\dfrac{bc}a+\dfrac ba\cdot\sin\bigg(-\dfrac{bc}a+\dfrac ba\cdot\sin\bigg(-\dfrac{bc}a+\dfrac ba\cdot\sin\bigg(\cdots\bigg)\bigg)\bigg)\bigg)\bigg)\bigg)$

