tan(x+π/3)≥ - 根号3的解集

tan(x+π/3)≥ - 根号3的解集
tan(x+π/3)≥ - 根号3的解集

tan(x+π/3)≥ - 根号3的解集
tan(x+π/3)≥ - 根号3
kπ -π/3≤ x+π/3

结合函数y=tanx的图像，得：
kπ－π/3≤x＋π/3kπ－2π/3≤x

tan(x+π/3)≥-√3
2kπ-π/3≤x+π/3≤2kπ+π/2或2kπ+2π/3≤x+π/3≤2kπ+3π/2 (k∈Z)
2kπ-2π/3≤x≤2kπ+π/6或2kπ+π/3≤x≤2kπ+7π/6 (k∈Z)
不等式的解集为[2kπ-2π/3，2kπ+π/6]U[2kπ+π/3，2kπ+7π/6] (k∈Z)