函数y=sin(x+π/3)cos(π/6-x)的最大值,最小正周期是

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函数y=sin(x+π/3)cos(π/6-x)的最大值,最小正周期是
函数y=sin(x+π/3)cos(π/6-x)的最大值,最小正周期是

函数y=sin(x+π/3)cos(π/6-x)的最大值,最小正周期是
注意:cos[π/2-(π/3+x)]=cos(π/6-x)=sin(π/3+x) y=sin(x+π/3)cos(π/6-x) =sin(x+π/3)sin(π/3+x) =sin(π/3+x) =[1-cos(2π/3+2x)]/2 =1/2-1/2cos(2π/3+2x) T=2π/2=π ymax=1/2-1/2(-1)=1