(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...
问题描述：
(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?...
(1/2)高三数学函数.f(x)=cos(2x-派/3)+2sin(x-派/4)sin(x+派/4).求函数最小正周期和最大值时x集合?求函数在
答
f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)=cos(2x-π/3)+cos(-π/2)-cos2x【积化和差】=cos(2x-π/3)-cos2x=2sin(π/6)sin(2x-π/6)【和差化积】=sin(2x-π/6)最小正周期=2π/22x-π/6∈2kπ+π/2...