函数y=sin(-2x+π/6)的单调递减区间是rt

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函数y=sin(-2x+π/6)的单调递减区间是rt

函数y=sin(-2x+π/6)的单调递减区间是rt
函数y=sin(-2x+π/6)的单调递减区间是
rt

函数y=sin(-2x+π/6)的单调递减区间是rt
y=sin(-2x+π/6)=-sin(2x-π/6),
y=sin(-2x+π/6)的单调递减区间是y=sin(2x-π/6)的单调递增区间,
由2kπ-π/2≤2x-π/6≤2kπ+π/2,解得kπ-π/6≤x≤kπ+π/3,
则y=sin(-2x+π/6)的单调递减区间是【kπ-π/6,kπ+π/3】,k∈Z.

-pi/2+2*k*pi<2x-pi/6k为整数