函数y=sin(π/3
y=sin(π/3-2x)的单调递减区间是 可以直接π/2+2Kπ≤π/3-2x≤3π/2+2Kπ解不等式吗 可是答案是[kπ-1/12π, kπ+5π/12], 我算的是[kπ-1/12π, kπ+7π/12], 答案确保没有错的
不行的! ①Y=sin(π/3-2X)=-sin(2X-π/3) ∴Y=sin(2X-π/3)的增区间就是Y=sin(π/3-2X)的减区间 ②Y=sin(2X-π/3)的增区间是: (2kπ-π/2)≦(2X-π/3)≦(2kπ+π/2) ===kπ-π/12≦X≦kπ+5π/12 ∴Y=sin(π/3-2X)的单调减区间是: [kπ-π/12,kπ+5π/12]k∈Z