已知函数f(x)=4sinxcos(x+派/3).(1)求f(x)最小正周期.(2...当x属于【0,4】.求f(x)的值域

(1)最简单的方法是用“积化和差”公式2sinαcosβ = sin(α+β) + sin(α-β) 原式=2×2sinxcos(x+π/3)=2 [ sin(x+x+π/3) + sin(x-x-π/3) ]= 2 [ sin(2x + π/3) + si...