由已知,余弦定理有:cosA=(b^2+c^2-a^2)/2bc=根号3bc/2bc=根号3/2A=30度,2sinBcosC-sin(B-C)=2sinBcosC-sinBcosC+cosBsinC=sinBcosC+cosBsinC=sin(B+C)=sin(180-A)=sinA=1/2
1/2