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tan(pi)/(20)tan(3 pi)/(20)tan(5 pi)/(20)...

`tan(pi)/(20)tan(3 pi)/(20)tan(5 pi)/(20)tan(7 pi)/(20)tan(9 pi)/(20)`

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Find the exact value of the expression tan(pi/20)-tan((3pi)/20)+tan((5pi)/20)-tan((7pi)/20)+tan((9pi)/20).

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