f(x)=cos(x/2) -sin(x/2) 单调区间,值域

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f(x)=cos(x/2)-sin(x/2)单调区间,值域f(x)=cos(x/2)-sin(x/2)单调区间,值域f(x)=cos(x/2)-sin(x/2)单调区间,值域sin(α±β)=sinα

f(x)=cos(x/2) -sin(x/2) 单调区间,值域
f(x)=cos(x/2) -sin(x/2) 单调区间,值域

f(x)=cos(x/2) -sin(x/2) 单调区间,值域
sin(α±β)=sin αcos β±cos αsin β
cos(x/2) -sin(x/2)=根号2*sin(45o-x/2)
单调区间-π/2+2nπ<45o-x/2<π/2+2nπ 恒单增,2nπ<x<π+2nπ
恒单减,π+2nπ<2π+2nπ
值域为(-根号2,根号2)