函数y=sin(π/12-π)cos(π/12-π)的单调减区间

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函数y=sin(π/12-π)cos(π/12-π)的单调减区间函数y=sin(π/12-π)cos(π/12-π)的单调减区间函数y=sin(π/12-π)cos(π/12-π)的单调减区间y=si

函数y=sin(π/12-π)cos(π/12-π)的单调减区间
函数y=sin(π/12-π)cos(π/12-π)的单调减区间

函数y=sin(π/12-π)cos(π/12-π)的单调减区间
y=sin(π/12-x)cos(π/12-x)
=-1/2sin(2x-π/6)
2kπ-π/2≤2x-π/6≤2kπ+π/2
kπ-π/6≤x≤kπ+π/3
单减区间:[kπ-π/6,kπ+π/3]
2kπ+π/2≤2x-π/6≤2kπ+3π/2
kπ+π/3≤x≤kπ+5π/6
单增区间:[kπ+π/3,kπ+5π/6]