I believe it is called a "transcendental equation", and I would like to find the best possible solution.
I tried to use Solve
:
Solve[Cos[ϕ0]/ϕ0 == h/(2 s0), ϕ0]
During evaluation of In[5]:= Solve::nsmet: This system cannot be solved with the methods available to Solve. >>
Solve[Cos[ϕ0]/ϕ0 == h/(2 s0), ϕ0]
And it didn't work. Since this is the first time I am working with this kind of equation, could somebody help me? I know I can use Taylor expansion for h/s0 << 1
or h/s0 >> 1
, but I don't want to do that. The reason why not is because this would not be a realistic model. In my case h
is approximately the same as s0
.
Edit
BTW, I would be satisfied with numerical solutions as well -- but only in case that is the only option.
FindRoot[]
, and have a good initial guess ready. $\endgroup$Solve
does a nice job when you add the domainReals
, such asSolve[Cos[ϕ0]/ϕ0 == 1/4, ϕ0, Reals]
$\endgroup$