设a=sin14+cos14,b=sin16+cos16,c=根号6/2,则abc大小关系?

问题描述:

设a=sin14+cos14,b=sin16+cos16,c=根号6/2,则abc大小关系?
答案是a求详解

a=sin14+cos14
a^2=1+2sin14cos14=1+sin28ab^2=1+sin32>1+sin30=3/2
b>√6/2
故:a