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If cos^(2009)x(1) + cos^(2009)x(2) + cos...

If `cos^(2009)x_(1) + cos^(2009)x_(2) + cos^(2009)x_(3) + ………. +cos^(2009)x_(2009) = 2009`, then `sin^(2009)x_(1) + sin^(2009)x_(2) + sin^(2009)x_(3) +…………..+ sin^(2009)x_(2009)` is equal to

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