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