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Let alpha and beta be the roots of the q...

Let `alpha` and `beta` be the roots of the quadratic equation `x^(2)` sin `theta - x (sin theta cos theta + 1) + cos theta = 0 (0 lt theta lt 45^(@))`, and `alpha lt beta`.
Then `underset(n=0)overset(oo)(Sigma) (alpha^(n) + ((-1)^(n))/(beta^(n)))` is equal to

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