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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 < 45º), and α < β . Then ∑ ∞ = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ β − + α 0 n n n n ) 1 ( is equal to :

1. θ − + θ + sin 1 1 cos 1 1
2. θ + + θ − sin 1 1 cos 1 1
3. θ + − θ − sin 1 1 cos 1 1
4. θ − − θ + sin 1 1 cos 1 1

Correct answer: θ + + θ − sin 1 1 cos 1 1

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