求函数y=sinx+根号3cosx在区间[-π/2,π/2]上的最大值与最小值

求函数y=sinx+根号3cosx在区间[-π/2,π/2]上的最大值与最小值
求函数y=sinx+根号3cosx在区间[-π/2,π/2]上的最大值与最小值

求函数y=sinx+根号3cosx在区间[-π/2,π/2]上的最大值与最小值
y=2(sinxcosπ/3+cosxsinπ/3)
=2sin(x+π/3)
x=π/6属于[-π/2,π/2],ymax=2
x=-π/2属于[-π/2,π/2],ymin=sin(-π/6)=-1/2