设α∈(0,π/3) β∈(π/6,π/2) 且5/3sinα+5cosα=8 /2sinβ+/6cosβ =2 求cos(α+β )/为根号/为5倍根号3 根号2 各号6

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 06:16:44
设α∈(0,π/3) β∈(π/6,π/2) 且5/3sinα+5cosα=8   /2sinβ+/6cosβ =2 求cos(α+β )/为根号/为5倍根号3  根号2  各号6

设α∈(0,π/3) β∈(π/6,π/2) 且5/3sinα+5cosα=8 /2sinβ+/6cosβ =2 求cos(α+β )/为根号/为5倍根号3 根号2 各号6
设α∈(0,π/3) β∈(π/6,π/2) 且5/3sinα+5cosα=8 /2sinβ+/6cosβ =2 求cos(α+β )
/为根号
/为5倍根号3 根号2 各号6

设α∈(0,π/3) β∈(π/6,π/2) 且5/3sinα+5cosα=8 /2sinβ+/6cosβ =2 求cos(α+β )/为根号/为5倍根号3 根号2 各号6
5/3sinα+5cosα=10sin(α+π/6)=8
sin(α+π/6)=0.8; cos(α+π/6)=0.6
同理2sin(β+π/3)=/2 ;
2cos(β+π/3)=-/2
sin(α+β+π/2)=-0.1*/2
cos(α+β )=-0.1*/2