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### Solve equation 1/3*x + sin(2*x)==1

Hi all.

I have the equations

y - 1 == 0,
y == 1/3*x + sin(2*x)


and I want solutions. I know by the intermediate value theorem that there are two solutions : about x=0.5 and x=1.25. I'd like Sage to give me these solutions. I already tried to_poly_solve=True and/or explicit_solutions=True.

As an example of failure :

sage: solve(  1/3*x + sin(2*x)==1,x,explicit_solutions=True  )
[]


What can I do ?

Thanks Laurent Claessens