f(x)=3Sin(2x+派/3) , g(x)和f(x)关于x=派/6对称,求g(x)?

f(x)=3Sin(2x+派/3) , g(x)和f(x)关于x=派/6对称,求g(x)?
f(x)=3Sin(2x+派/3) , g(x)和f(x)关于x=派/6对称,求g(x)?

f(x)=3Sin(2x+派/3) , g(x)和f(x)关于x=派/6对称,求g(x)?
∵g(x)和f(x)关于x=π/6对称
∴g(x)=f(π/3-x)
=3sin[2(π/3-x)+π/3]
=3sin(π-2x)
=3sin2x

把fx的自变量换成π/6-x就好了