函数y=-3sin(2π-π/6)的单调增区间是函数y=-3sin(2x-π/6)的单调增区间是

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函数y=-3sin(2π-π/6)的单调增区间是函数y=-3sin(2x-π/6)的单调增区间是

函数y=-3sin(2π-π/6)的单调增区间是函数y=-3sin(2x-π/6)的单调增区间是
函数y=-3sin(2π-π/6)的单调增区间是
函数y=-3sin(2x-π/6)的单调增区间是

函数y=-3sin(2π-π/6)的单调增区间是函数y=-3sin(2x-π/6)的单调增区间是
是2x-π/6吧
y=-3sin(2x-π/6)=3sin(2x+5π/6)
和书上求区间的不同方法
根据正弦函数的图像,对称轴π/2+2kπ的前半个周期是增区间
所以y=3sin(2x+5π/6)的对称轴是 2x+5π/6=π/2  x=-π/6+kπ
所以增区间是[-2π/3+kπ,-π/6+kπ]
附加图

y=-3sin(2x-π/6)的单调增区间即为y=3sin(2x-π/6)的单调减区间
所以满足2kπ+π/2<=2x-π/6<=2kπ+3π/2
2kπ+2π/3<=2x<=2kπ+5π/3
kπ+π/3<=x<=kπ+5π/6
所以单调递增区间为
[kπ+π/3,kπ+5π/6,k∈Z]