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Show that sin^(2)""(pi)/(18) + sin^(2)""...

Show that `sin^(2)""(pi)/(18) + sin^(2)""(pi)/(9) + sin^(2)""(7pi)/(18) + sin^(2)"" (4pi)/(9) = 2`.

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sin^(2)""(pi)/(18)+sin^(2)""(2pi)/(18)+sin^(2)""(4pi)/(18)+sin^(2)""(8pi)/(18)+sin^(2)""(7pi)/(18)+sin^(2)""(5pi)/(18)=