要使函数y=sin(2x−π3)+lg[tan(x+π6)]有意义，需满足sin(2x−π3)≥0tan(x+π6)＞0x+π6≠π2+kπ，k∈Z解得，π6+kπ≤x≤2π3+kπ，k∈Z−π6+kπ＜x＜π3+kπ，k∈Z即 kπ+π6≤x＜kπ+π3，k∈Z∴函数的定义域...