【注：sin2x=2sinxcosx. sin(π-x)=sinx】原式=（1/2)×2sin(5π/12)cos(5π/12)=(1/2)sin(5π/6)=(1/2)sin[π-(π/6)]=(1/2)sin(π/6)=(1/2)×(1/2)=1/4.∴原式=1/4.