(1)
f(x)=(1/2)sinx+(√3/2)cosx
=sin(x+π/3)
最小正周期=2π
值域=[-1,1]
(2)
f(A)=√3/2
sin(A+π/3)=√3/2
A+π/3=2π/3
A=π/3
a=√3( b/2)
a/sinA = b/sinB
a/sin(π/3) = (2a/√3)/sinB
sinB =1
B=π/2
C= π-A-B
= π/6