y=2sin(π/3-2x)的单调增区间

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y=2sin(π/3-2x)的单调增区间y=2sin(π/3-2x)的单调增区间y=2sin(π/3-2x)的单调增区间y=2sin(π/3-2x)=-2sin(2x-π/3)在2x-π/3∈[2kπ

y=2sin(π/3-2x)的单调增区间
y=2sin(π/3-2x)的单调增区间

y=2sin(π/3-2x)的单调增区间
y=2sin(π/3-2x)=-2sin(2x-π/3)
在2x-π/3∈[2kπ+π/2,2kπ+3π/2]
即:x∈[kπ+5π/12,kπ+11π/6]时,函数递增
所以,y=2sin(π/3-2x)的单调增区间:[kπ+5π/12,kπ+11π/6],k∈Z