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证明(sinα)^2+(sinβ)^2+2sinαsinβcos(α+β)(sinα)^2+(sinβ)^2+2sinαsinβcos(α+β)=0

题目详情
证明(sinα)^2+(sinβ)^2+2sinαsinβcos(α+β)
(sinα)^2+(sinβ)^2+2sinαsinβcos(α+β)=0
▼优质解答
答案和解析
没结论啊 左边=(sina)^2+(sinb)^2+2sinasinb(cosacosb-sinasinb) =(sina)^2(1-(sinb)^2)+(sinb)^2(1-(sina)^2)+2sinacosasinbcosb =(sina)^2(cosb)^2+(cosa)^2(sinb)^2+2sinacosasinbcosb =(sinacosb+cosasinb)^2=(sin(a+b))^2