原式=COS(2X+π/4)+SIN(2X+π/4)=SQR(2)*(SQR(2)/2)(SIN(π/4)COS(2X+π/4)+COS(π/4)SIN(2X+π/4))=SQR(2)SIN(2X+π/2)=SQR(2)COS(2X).所以最大值为SQR(2).单调增区间:2Kπ-π
已知函数f(x)=1-2sin^2(x+π/8)+2sin(x+π/8)*cos(x+π/8)
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