y=sinxcos(x+π/4)+cosxsin(x+π/4)的最小正周期是

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y=sinxcos(x+π/4)+cosxsin(x+π/4)的最小正周期是

y=sinxcos(x+π/4)+cosxsin(x+π/4)
=sin(x+x+π/4)
=sin(2x+π/4)
所以T=2π/2=π