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3 transcendent equations, 2 unknown variables

HI there,

I have 3 independent equations (whose coefficients come from
The equations are quite complicated and include trigonometric
There are 3 unknown variables.  So far, it looks fine, right ?
However, there might be multiple solutions (due to the trigonometric
functions). And I have no idea what initial values to enter in
FindRoot, in order to get the real solutions.
Suppose I find a separate method to determine one of the unknown
Then it will be nice to be able to use some approximation algorithm to
find the other two variables by using not any two, but the three
equations together.
The problem is that FindRoot do not accept a number of equations
different from the number of variables.
This could be done in another system, but at the moment I am restricted to
Mathematica only (and as you can guess from  my question I am a Newbie
in Matemathica yet).
Thank you for any advice !

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