(1)∵A={1,2,3},∁UA={4,5,6},
∴U={1,2,3,4,5,6},
∵B={3,4},
∴∁UB={1,2,5,6};
(2)原式=1-2sinα•sinα-2cos2α=1-2(sin2α+cos2α)=1-2=-1.