求函数y=cos+(√3)sinx,x∈[π/6,2π/3]的值域

问题描述:

求函数y=cos+(√3)sinx,x∈[π/6,2π/3]的值域

y=2(sinx*√3/2+cosx*1/2)
=2(sinxcosπ/6+cosxsinπ/6)
=2sin(x+π/6)
π/3