若函数y=log1/2[2sin(2x+π/4)+√2]的定义域

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若函数y=log1/2[2sin(2x+π/4)+√2]的定义域

若函数y=log1/2[2sin(2x+π/4)+√2]的定义域
若函数y=log1/2[2sin(2x+π/4)+√2]的定义域

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
2kπ

2sin(2x+π/4)+√2>0
sin(2x+π/4)>-√2/2
2kπ-π/4<2x+π/4<2kπ+5π/4
2kπ-π/2<2x<2kπ+6π/4
kπ-π/40 2sin(2x+π/4)>-√2 sin(2x+π/4)>-√2/2 2kπ<2x+π/4<2kπ+5π/4 2kπ-π/4<2x<...

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2sin(2x+π/4)+√2>0
sin(2x+π/4)>-√2/2
2kπ-π/4<2x+π/4<2kπ+5π/4
2kπ-π/2<2x<2kπ+6π/4
kπ-π/4

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2[sin(2x+π/4)+√2]>0
求解x范围