1,a=2RsinA b=2RsinB
sinA(cosC+√3sinC=sinB=sin(A+C)
sinAcosC+√3sinAsinC=sinAcosC+cosAsinC
√3sinAsinC=cosAsinC
sinA/cosA=√3/3
tanA=√3/3 A=30
2,S=bcsinA/2=√3/2
bc=2√3
a^2=b^2+c^2-2bccosA
=b^2+c^2-2*2√3*√3/2
b^2+c^2=7 c=2√3/b
b^2+12/b^2=7
b^4-7b^2+12=0
(b^2-3)(b^2-4)=0
b^2=3或b^2=4 b>0
b=√3或b=2
c=2或c=√3