函数f(x)=sin(x+π/6)+cos(x+π/6)的值域为

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函数f(x)=sin(x+π/6)+cos(x+π/6)的值域为
函数f(x)=sin(x+π/6)+cos(x+π/6)的值域为

函数f(x)=sin(x+π/6)+cos(x+π/6)的值域为
f(x)=sin(x+π/6)+cos(x+π/6)
=根号2[ sin(x+π/6)cos(π/4)+cos(x+π/6)sin(π/4) ]
=根号2 sin(x+π/6+π/4)
值域:【-根号2,根号2】