f(x)=sin(x+π/3)(1)当x∈[π/3,7π/6]时,求f(x)的值域

问题描述:

f(x)=sin(x+π/3)(1)当x∈[π/3,7π/6]时,求f(x)的值域

∵π/3≤x≤7π/6
∴2π/3≤x+π/3≤3π/2
∴-1≤sin(x+π/3) ≤√3/2
∴值域为:【-1,√3/2】