I have the following equation of $t$:
$\text{C0}+(\text{C1}+\text{C2} t) \cos (\text{C4} t)+\sin (\text{C4} t) (\text{C7}+\text{C8} t)+\text{C5} \cos (\text{C6} t)+\text{C9} \sin (\text{C6} t)=0$
With $\text{C0}$ through $\text{C9}$ all real value constants. Solving for roots numerically is not a problem, what I am interested in is some expression enumerating the roots of $t$. I cant figure out where to start here, and my background is not enough to even know if this is possible. Thanks!
I cite Beni Bogosel answering such a question for much more simple equation $cos(x)=x$: “The equation in question is a transcendental equation. Apart of guessing, numerical or analytical methods, there is no way of solving the equation without using another transcendental function, and therefore argue in circles”. If you a interested in details than you can read the whole short discussion about the question.