若函数y=log1/2[2sin(2x+π/4)+√2]的定义域

问题描述:

若函数y=log1/2[2sin(2x+π/4)+√2]的定义域

2sin(2x+π/4)+√2>0
2sin(2x+π/4)>-√2
sin(2x+π/4)>-√2/2
2kπ2sin(2x+π/4)+√2>0sin(2x+π/4)>-√2/22kπ-π/402sin(2x+π/4)>-√2sin(2x+π/4)>-√2/22kπ-π/4