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If sin^4 alpha + 4 cos^4 beta + 2 = 4sqr...

If `sin^4 alpha + 4 cos^4 beta + 2 = 4sqrt2 sin alpha cos beta ; alpha, beta in [0,pi],` then `cos(alpha+beta) - cos(alpha - beta)` is equal to :

A

`-sqrt(2)`

B

`0`

C

`sqrt(2)`

D

`-1`

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A
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