已知sin(α+π⼀4)=4⼀5,且π⼀4<α<3π⼀4,求cosα的值。 详细步骤,谢谢

2024-11-11 22:15:41
推荐回答(3个)
回答1:

π/4<α<3π/4
π/2<α+π/4<π
cos(α+π/4)= - √[1-(4/5)^2] = - 3/5
cosα=cos[(α+π/4)-π/4]=cos(α+π/4)cos(π/4)+sin(α+π/4)sin(π/4)
=(4/5)(√2/2)+(3/5)(√2/2)
=7√2/10

回答2:

有点难

回答3:

不会