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

If sin^4 α + 4cos^4 β + 2 = 4√(2)sinαcosβ; α, β ∈ [0, π],… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Jan · Shift II

\sin^4 \alpha + 4\cos^4 \beta + 2 = 4\sqrt{2}\sin\alpha\cos\beta

;

\alpha, \beta \in [0, \pi]

, then

\cos(\alpha + \beta) - \cos(\alpha - \beta)

is equal to

Show answer

Correct option: C

[JEE Main 2019 · 12 Jan · Shift II]

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