解不等式sin(2x+π/3)

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解不等式sin(2x+π/3)

解不等式sin(2x+π/3)
解不等式sin(2x+π/3)

解不等式sin(2x+π/3)
sin(2x+π/3)

sin(2x+π/3)<1/2
∵2kπ+π/6 ≤ 2x+π/3 ≤ 2kπ+5π/6【k∈Z】时,sin(2x+π/3) ≥ 1/2
∴ 2kπ+5π/6 < 2x+π/3 < (2k+2)π 【k∈Z】时,sin(2x+π/3) < 1/2
解得:kπ+π/4 < x < kπ+5π/6 【k∈Z】