求y=2sin(2x+π/6)的单调增区间

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求y=2sin(2x+π/6)的单调增区间求y=2sin(2x+π/6)的单调增区间求y=2sin(2x+π/6)的单调增区间y=2sin(2x+π/6)单调增区间:令2kπ-π/2<2x+π/6<2

求y=2sin(2x+π/6)的单调增区间
求y=2sin(2x+π/6)的单调增区间

求y=2sin(2x+π/6)的单调增区间
y=2sin(2x+π/6)
单调增区间:
令2kπ-π/2<2x+π/6<2kπ+π/2,k∈Z
得kπ-π/3<x<kπ+π/6,k∈Z
所以单调增区间是(kπ-π/3,kπ+π/6),k∈Z