We consider the possibility of measuring both sin(2 beta) and cos(2 beta) i
n the KM unitarity triangle using the process B-0 --> D*D+*K--(s). This dec
ay mode has a higher branching fraction [O(1%)] than the mode B-0 --> D*+D"
-. We use the factorization assumption and heavy hadron chiral perturbation
theory to estimate the branching fraction and polarization. The time depen
dent rate for B-0(t) --> D*D+*K--(s) can be used to measure sin(2 beta) and
cos(2 beta). Furthermore, examination of the D*K-+(s) mass spectrum may be
the best way to experimentally find the broad 1(+) p-wave D-s meson.