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If cos (pi/12) = (sqrt(2) + sqrt(6))/(4)...

If `cos (pi/12) = (sqrt(2) + sqrt(6))/(4)`, then all `x in (0,pi/2)` such that `(sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2)`, then find x.

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The correct Answer is:
`pi/12`
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