(1)csinA=根号3acosc根据正弦定理sinCsinA=√3sinAcosC∵sinA>0约去∴sinC=√3cosC∴tanC=sinC/cosC=√3∴C=π/3(2)c=√7 ,b=3a根据余弦定理c^2=a^2+b^2-2abcosC∴7=a^2+9a^2-3a^2∴a^2=1,a=1 ,b=3∴三角型面积S=1/2*absinC=1/2*1*3*√3/2=3√3/4