sina-sinb=根号6/3,cosa+cosb=-根号2/2,则cos(a+b)=

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sina-sinb=根号6/3,cosa+cosb=-根号2/2,则cos(a+b)=
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sina-sinb=根号6/3,cosa+cosb=-根号2/2,则cos(a+b)=
sina-sinb=根号6/3,cosa+cosb=-根号2/2,则cos(a+b)=

sina-sinb=根号6/3,cosa+cosb=-根号2/2,则cos(a+b)=

(sina-sinb)²=2/3
sin²a+sin²b-2sinasinb=2/3 (1)
(cosa+cosb)²=1/2
cos²a+cos²b+2cosacosb=1/2 (2)
(1)+(2)得:
2+2(cosacosb-sinasinb)=7/6
cosacosb-sinasinb=-5/12
∴cos(a+b)=-5/12
望采纳,谢谢!