y=sin(-2x+π/3)=
y=-sin(2x-π/3)
由2kπ+π/2≤2x-π/3≤2kπ+3π/2 (k∈Z)得
kπ+5π/12≤x≤kπ+11π/12 (k∈Z) 即y=sin(-2x+π/3)的增区间为kπ+5π/12≤x≤kπ+11π/12 (k∈Z) 纯手打,
y=sin(-2x+π/3)=
y=-sin(2x-π/3)
由2kπ+π/2≤2x-π/3≤2kπ+3π/2 (k∈Z)得
kπ+5π/12≤x≤kπ+11π/12 (k∈Z) 即y=sin(-2x+π/3)的增区间为kπ+5π/12≤x≤kπ+11π/12 (k∈Z) 纯手打,