y=根号(1-2sinX)+1/(1+tanX)
1-2sinx≥0且1+tanX≠0,且tanx有意义
1-2sinx≥0 ==>sinx≤1/2 ==>2kπ-7π/6≤x≤2kπ+π/6,k∈Z
tanx有意义 ==>x≠kπ+π/2,k∈Z
1+tanX≠0 ==> x≠kπ-π/4,k∈Z
将上面的集合取交集得
函数定义域：
[2kπ-7π/6,2kπ-π/2)U(2kπ-π/2,2kπ-π/4)U(2kπ-π/4,2kπ+π/6] ,k∈Z