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If sin x(1)+sin x(2) + sin x(3)+...+sin ...

If `sin x_(1)+sin x_(2) + sin x_(3)+...+sin x_(2008)=2008` then find the value of `sin^(2008) x_( 1)+sin^(2008)x_(2) + sin^(2008)x_(3)+...+sin^(2008)x_(2008)`.

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