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If alpha, betaepsilon(0, pi/2) and if si...

If `alpha, betaepsilon(0, pi/2)` and if `sin^4alpha+4cos^4beta+2=4sqrt2 sinalphacosbeta`then the value of `cos(alpha+beta)-cos(alpha-beta)` is (A) `sqrt2` (B) `1/sqrt2` (C) `-1/sqrt2` (D) `-sqrt2`

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