因为sinx的递减区间为:[π/2+2kπ,3π/2+2kπ](k∈Z)
所以sin(x+π/6)的递减区间为[π/3+2kπ,4π/3+2kπ]
所以sin2(x+π/6)=sin(2x+π/3)的递减区间为[π/6+kπ,2π/3+kπ]
所以F(x)=2sin(π/3+2x)的递减区间为:[π/6+kπ,2π/3+kπ](k∈Z)
因为sinx的递减区间为:[π/2+2kπ,3π/2+2kπ](k∈Z)
所以sin(x+π/6)的递减区间为[π/3+2kπ,4π/3+2kπ]
所以sin2(x+π/6)=sin(2x+π/3)的递减区间为[π/6+kπ,2π/3+kπ]
所以F(x)=2sin(π/3+2x)的递减区间为:[π/6+kπ,2π/3+kπ](k∈Z)
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