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If α and β are the roots of the quadratic equation, x 2 + x sin θ – 2 sin θ = 0, θ ∈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 2 , 0 , then ( ) 24 12 – 12 – 12 12 ) – ( β α ⋅ β + α β + α is equal to :

1. 6 12 ) 8 – (sin 2 θ
2. 12 6 ) 8 (sin 2 + θ
3. 12 12 ) 8 (sin 2 + θ
4. 12 12 ) 4 – (sin 2 θ

Correct answer: 12 12 ) 8 (sin 2 + θ

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