sin14.＋cos14.与sin16.＋cos16.和sin60.怎么比较大小

题目

sin14.＋cos14.与sin16.＋cos16.和sin60.怎么比较大小
大哥.

答案

sin14°+cos14°=√ 2(sin14°cos45°+cos14°sin45°)=√ 2sin(14+45)°=√ 2sin59°同理：sin16°+cos16°=√ 2(sin16°cos45°+cos14°sin46°)=√ 2sin(16+45)°=√ 2sin61°所以：sin14°+cos14° < sin16°+co...