sin105度怎么算啊

问题描述:

sin105度怎么算啊

sin105=sin(45+60)=sin45×cos60+sin60×cos45=(跟号2+跟号6)除以4
要记住三角函数的基本用法,祝你学习进步

sin(45+60)=sin 45cos 60+cos 45sin 60

sin105° = sin(60°+45°) = sin60° * cos45° + cos60° * sin45° = √3/2 * √2/2 + 1/2 * √2/2 = (√6 + √2)/4

sin(π/2+a)=cosa ∴sin105=sin(45+60)=cos60=1/2