Question

Let α and β be the roots of the quadratic equation x² sinθ – x(sinθ.cosθ + 1) + cosθ = 0(0 < θ < 45º), and α < β.
Then [infinity]∑ₙ₌₀(αⁿ + (–1)ⁿ/βⁿ) is equal to :
(A) 1/(1 – cosθ) – 1/(1 + sinθ)
(B) 1/(1 + cosθ) + 1/(1 – sinθ)
(C) 1/(1 – cosθ) + 1/(1 + sinθ)
(D) 1/(1 + cosθ) – 1/(1 – sinθ)

Answer 1

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