函数f(x)=sinX+cosX的单调减区间为?百度搜到f(x)=sinX+cosX=根号2(sinXcosπ/4+cosXsinπ/4)=根号2 sin(X+π/4)2kπ+π/2 ≤ X+π/4 ≤ 2kπ+3π/2 ,即2kπ+π/4 ≤ X ≤ 2kπ+5π/4(k∈Z)时单调减.我想问 :2kπ+π/2 ≤ X+π

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