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If sin^4α + 4cos^4β + 2 = 4√2 sinα cosβ; α ,β ∈ [0,π], then cos(α + β) - cos(α - β) is equal to :

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If sin4α + 4cos4β + 2 = 4√2 sinα cosβ; α ,β ∈ [0,π], then cos(α + β) - cos(α - β) is equal to :  

(1) √2

(2) -1

(3) -√2

(4) 0   

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Correct option: (3) -√2

Explanation:

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