1（5）：函数f(x)=根号3×(sin2π/3)x+(cos2π/3)x的最小正周期是( ).求详解,

题目

1（5）：函数f(x)=根号3×(sin2π/3)x+(cos2π/3)x的最小正周期是( ).求详解,

答案

f(x)=√3sin2π/3*x+cos2π/3*x
=2(√3/2sin2π/3*x+1/2cos2π/3*x)
=2sin(2π/3*x+π/6)
T=2π/2π/3=3
最小正周期是:3