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If tan A,tan B and tan C are the roots o...

If `tan A,tan B` and `tan C` are the roots of equation `x^(3)-alpha x^(2)-beta=0` ,and `(1+tan^(2)A)(1+tan^(2)B)(1+tan^(2)C)=k-1` ,then `k` (in terms of `alpha` and `beta` is equal to:

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