把函數(shù)y=sin2x的圖像向右平移π/6個(gè)單位,再關(guān)于直線x=5π/24對(duì)稱,則所得倒圖像的函數(shù)解析式為
解析：函數(shù)y=sin2x的圖像向右平移π/6個(gè)單位,得y=sin2(x-π/6)=sin(2x-π/3)
因?yàn)?函數(shù)y=f(x)與y=f(2a-x)的圖像關(guān)于直線x=a成軸對(duì)稱
所以,函數(shù)y=sin(2x-π/3)關(guān)于直線x=5π/24對(duì)稱的函數(shù)為：
y=sin(2(5π/12-x)-π/3)=sin((5π/6-2x)-π/3)=sin(π/2-2x)=cos2x