函数y=sin(-2x+π/6）的单调递减区间是（）c.[-π/6＋kπ,π/3+kπ]D[-π/6+kπ,5π/6+kπ]

函数y=sin(-2x+π/6）的单调递减区间是（）c.[-π/6＋kπ,π/3+kπ]D[-π/6+kπ,5π/6+kπ]
函数y=sin(-2x+π/6）的单调递减区间是（）
c.[-π/6＋kπ,π/3+kπ]
D[-π/6+kπ,5π/6+kπ]

函数y=sin(-2x+π/6）的单调递减区间是（）c.[-π/6＋kπ,π/3+kπ]D[-π/6+kπ,5π/6+kπ]
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.

y=sin(-2x+π/6)=-sin(2x-π/6) 选C，
-π/2 < 2x-π/6 <π/2
-π/3 < 2x < 2π/3

选c

C
周期为π 再单调递减肯定π/2了
CD两个答案只有C是 半周期 π/2
D半周期是π 不对的