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Prove that the value of each the followi...

Prove that the value of each the following determinants is zero: `|sin^2(x+(3pi)/2)sin^2(x+(5pi)/2)sin^2(x+(7pi)/2)sin^(x+(3pi)/2)sin^(x+(5pi)/2)sin^(x+(7pi)/2)sin^(x-(3pi)/2)sin^(x- (5pi)/2)sin^(x-(7pi)/2)|`

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