Question

求下列函数的定义域：1.Y=lg(2sinx-根号2)-根号下1-2cosx

Answer 1

2sinx-√2>0 , 2kπ+π/4<x<2kπ+3π/4
1-cosx≥0 , R
定义域为: 2kπ+π/4<x<2kπ+3π/4

Answer 2

2sinx-√2>0 , 可解得2kπ+π/4<x<2kπ+3π/4
1-2cosx≥0 ，可解得2kπ-π/3<=X<=2kπ-5π/3则定义域为2kπ+π/3<=X<2kπ+3π/4，K属于z