若函数y=log1/2[2sin(2x+π/4)+√2]的定义域

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 02:34:29
若函数y=log1/2[2sin(2x+π/4)+√2]的定义域
x){ѽigS7TEgiUho7~1(f=t|"}2tِk;L ;] XSX"a}F 1"0 xM @m@"ڦ`&#\$a bcs*(`sP)oHj-xټƩO gSغ166XEO[.W4

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<...

全部展开

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

收起

2[sin(2x+π/4)+√2]>0
求解x范围