Question: A better Numerical solve

Hello,

I'm rediscovering maple, and i want to find the zeroes of an expression by numerical calculation. But it seems that the function fsolve can not handle the monster i created...

(The monster in question here is a determinant of a 12x12 matrix with one variable an trigonometric functions that i don't want to copy pas (NDA))

The problem might comes from the extrem values it gives for a numerical calculation (slope around 1e6)...

 

So, i'm searching for an alternative method (may be famous but unknown from me) to find it by numerical calculation.

 

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