函数y=根号3sinx+cosx,x∈ [-6分之π,6分之π]的值域是y=2(√3/2sinx+1/2cosx)=2(sinxcosπ/6+cosxsinπ/6)=2sin(x+π/6)-π/2
问题描述：
函数y=根号3sinx+cosx,x∈ [-6分之π,6分之π]的值域是
y=2(√3/2sinx+1/2cosx)
=2(sinxcosπ/6+cosxsinπ/6)
=2sin(x+π/6)
-π/2
答
-π/2不等式两边同时加上π/6，就变成了
-π/3这是加工条件适应待求
答
∵-π/2≤x≤π/2
∴-π/2+π/6≤x≤π/2+π/6
即：-π/3≤x+π/6≤2π/3
答
y=2(√3/2sinx+1/2cosx)
=2(sinxcosπ/6+cosxsinπ/6)
=2sin(x+π/6)
-π/6
答
左右同时加π/6嘛