Let `alpha` and `beta` be the roots of the  quadratic equation `x sin^(2) theta -x (
Channel: Doubtnut
Date: 2020-04-12

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