Let α and β be the roots of the quadratic equation x2sinθ−x(sinθ – InterviewSolution

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1.	Let α and β be the roots of the quadratic equation x2sinθ−x(sinθcosθ+1)+cosθ=0 (0<θ<45∘), and α<β. Then n=0∑∞(αn+(−1)nβn) is equal to :
Answer» Let $α$ and $β$ be the roots of the quadratic equation $x^{2} sin θ - x (sin θ cos θ + 1) + cos θ = 0 (0 < θ < 45^{\circ})$ , and $α < β$ . Then $n = 0 \sum \infty (α^{n} + \frac{(- 1)^{n}}{β^{n}})$ is equal to :

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