a.b=√3cosπ/3-sinπ/3.
=√3*(1/2)-√3/2;
=0.
f(x)=2absin(x/2).
=0.
(1) f(x)的函数值=0；
(2) f(x)sinA+sinB=0+sinB的最大值=sinB=1.
已知向量a=(根号3,1)b=(cosπ/3,-sinπ/3)记f(x)=2absinx/2
（1）若x∈【0，π】求函数f（x）的值域
（2）在△ABC中若fsinA+sinB的最大值
a.b=√3cosπ/3-sinπ/3.
=√3*(1/2)-√3/2;
=0.
f(x)=2absin(x/2).
=0.
(1) f(x)的函数值=0；
(2) f(x)sinA+sinB=0+sinB的最大值=sinB=1.