f(x)=1-2sin平方(x+π/8)+2sin(x+π/8)点乘cos(x+π/8)
=cos(2x+π/4)+sin(2x+π/4)
=√2sin(2x+π/2)
=√2cos2x
f(x)的最大值√2,2x=2nπ;x=nπ
单调递增区间 2x∈[(2n-1)π,2nπ]
x∈[(2n-1)π/2,nπ]
f(x)=1-2sin平方(x+π/8)+2sin(x+π/8)点乘cos(x+π/8)
=cos(2x+π/4)+sin(2x+π/4)
=√2sin(2x+π/2)
=√2cos2x
f(x)的最大值√2,2x=2nπ;x=nπ
单调递增区间 2x∈[(2n-1)π,2nπ]
x∈[(2n-1)π/2,nπ]