cos(π/2-A):sinB:cos(3π/2+C)=3:2:4,即有sinA:sinB:sinC=3:2:4正弦定理得到a:b:c=3;2;4cosC=(a^2+b^2-c^2)/(2ab)=(9+4-16)/(2*3*2)=-1/4
cos(π/2-A)=sinA;cos(3π/2+C)=sinC;即sinA:sinB:sinC=3:2:4根据正弦定理:a:b:c=3:2:4cosC=(a平方+b平方-c平方)/2ab=-1/4