由正弦定理 (a+c)/(sinA+sinC)=b/sinB 即8/(sin2C+sinC)=4/sin3C 整理得 sin2C+sinC=2sin3C 2sinCcosC+sinC=6sinC-8(sinC)^3 2cosC=5-8(sinC)^22cosC=5-8[1-(cosC)^2]8(cosC)^2-2cosC-3=0 cosC=-1/2(舍） 或 cosC=3/...