在线等,已知a为钝角,sin(a+π⼀4)=1⼀3,则cos(a+π⼀4)=?

2025-04-25 14:37:30
推荐回答(1个)
回答1:

因为a为钝角
而sin(a+π/4)>0
所以a+π/4还是钝角
所以cos(a+π/4)<0

所以cos(a+π/4)=-√(1-1/9)=-2√2/3

sin{π/2-(a+π/4)}=cos(a+π/4)=-√(1-1/9)=-2√2/3
sin(π/4-a)=sin{π/2-(a+π/4)}=cos(a+π/4)=-√(1-1/9)=-2√2/3