题目

设a为锐角,若cos（a+6分之拍）＝5分之3,则sin（a-12分之拍）＝?

提问时间：2020-10-08

答案

a为锐角,cos(a+π/6)=3/5
则：sin(a+π/6)=4/5
sin(a-π/12)=sin[(a+π/6)-π/4]
=sin(a+π/6)cos(π/4)-cos(a+π/6)sin(π/4)
=(4/5)(√2/2)-(3/5)(√2/2)
=√2/10