函数y=sin(x)cos(x+ π/4)+cos(x)sin(x+π/4)的最小正周期是

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函数y=sin(x)cos(x+ π/4)+cos(x)sin(x+π/4)的最小正周期是
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函数y=sin(x)cos(x+ π/4)+cos(x)sin(x+π/4)的最小正周期是
函数y=sin(x)cos(x+ π/4)+cos(x)sin(x+π/4)的最小正周期是

函数y=sin(x)cos(x+ π/4)+cos(x)sin(x+π/4)的最小正周期是
这个函数是sin(2x+π/4)(sin(x+x+π/4))的展开式,最小正周期T=2π/2=π.