已知函数f(x)=1-cosx+sin(x+π/6) 1求f(x)的最小正周期,2,记△ABC的内角A,B,C的对应边为a,b,c,若已知函数f(x)=1-cosx+sin(x+π/6) 1.求f(x)的最小正周期,2.记△ABC的内角A,B,C的对应边为a,b,c,若f(A)=1,a=1,c=根号3,求b

Question

已知函数f(x)=1-cosx+sin(x+π/6) 1求f(x)的最小正周期,2,记△ABC的内角A,B,C的对应边为a,b,c,若
已知函数f(x)=1-cosx+sin(x+π/6) 1.求f(x)的最小正周期,2.记△ABC的内角A,B,C的对应边为a,b,c,若f(A)=1,a=1,c=根号3,求b的值

Answer 1

2π
b=2
f(x)=1-cosx+sin(x+π/6)=1+sin(x-π/6)
f(A)=1=1+sin(A-π/6) ,A=π/6
1/sinA=根号3/sinC,SsinC=根号3/2 ,C=π/3 ,b=2