Teaching UP TGT Mock Test Series 2025 Mathematics Trigonometry Trigonometric Identities

If sin4α + 4 cos4 β + 2 = \(4\sqrt{2}\) sin α cos β. α, β ϵ [0, π], then cos(α + β) - cos(α - β) is equal to

1
0
2
\(-\sqrt{2}\)
3
-1
4
\(\sqrt{2}\)
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