f(x)=4cosX乘sin(X+派除6)
=4[sin(2x+π/6)/2-sin(-π/6)/2]
=4sin(x+π/12)+4sin(π/12)
ω=1,
由周期公式得
T=2π/ω
=2π.
∴函数f(x)=4cosX乘sin(X+派除6)的最小正周期为2π.
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