函数y=根号下2cos2x+1的定义域是

如题所述

2cos2x+1>=0
cos2x>=-1/2
sin(π/2-2x)>=-1/2
-π/6<=π/2-2x<=π+π/6
-(π+π/6)<=2x-π/2<π/6
-2π/3<=2x<=2π/3
【主值】-π/3<=x<=π/3
kπ-π/3<=x<=kπ+π/3
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