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**1. The problem statement, all variables and given/known data**

They ask me to solve the characteristic equation of a fiber optics glass. The equations I need to solve (separately) are:

**2. Relevant equations**

solve(2000000*Pi*sin(x)-2*arctan(.6666666667*(2.25*cos(x)^2-2.1904)^.5/sin(x)) = Pi, x):

solve(2000000*Pi*sin(x)-2*arctan(.6666666667*(2.25*cos(x)^2-2.1904)^.5/sin(x)) = 0, x)

That's how I tried to solve them in MAPLE.

**3. The attempt at a solution**

Maple is not giving me answers, I used my TI and it gave me some results but they were extremely similar and I don't think they are the real ones. How can I solve for the propagation angle x?

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

**3. The attempt at a solution**