Measurement of cos2 beta in B-0 -> D((*))h(0) decays with a time-dependent Dalitz plot analysis of D -> K-s(0)pi(+)pi(-)

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We study the time-dependent Dalitz plot of D -> K-S(0)pi(+) pi(-) in B-0 -> D((*))h(0) decays, where h(0) is a pi(0), eta, eta', or omega meson and D-* -> D pi(0), using a data sample of 383 x 10(6) Upsilon(4S) -> B (B) over bar decays collected with the BABAR detector. We determine cos2 beta = 0.42 +/- 0.49 +/- 0.09 +/- 0.13, sin2 beta = 0.29 +/- 0.34 +/- 0.03 +/- 0.05, and |lambda| = 1.01 +/- 0.08 +/- 0.02, where the first error is statistical, the second is the experimental systematic uncertainty, and the third, where given, is the Dalitz model uncertainty. Assuming the world average value for sin2 beta and |lambda| = 1, cos2 beta > 0 is preferred over cos2 beta < 0 at 86% confidence level.