sin(a+b)=0.2.cos(a-b)=0.8.求tana/tan不好意思是求tana /tanb
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sin(a+b)=0.2.cos(a-b)=0.8.求tana/tan不好意思是求tana /tanb
sin(a+b)=0.2.cos(a-b)=0.8.求tana/tan
不好意思
是求tana /tanb
sin(a+b)=0.2.cos(a-b)=0.8.求tana/tan不好意思是求tana /tanb
补充完整吧
条件cos(a-b)=0.8可转换为sin(a-b)=0.6
这样把条件展开得:
sinacosb+cosasina=0.2 ①
sinacosb-cosasinb=0.6 ②
①/②得:(sinacosb+cosasina)/(sinacosb-cosasinb)=1/3 ③
③的左边分子分母都除以cosacosb得:(tana+tanb)/(tana-tanb)=1/3 ④
设x=tana /tanb,则tana=xtanb;带入④得:(xtanb+tanb)/(xtanb-tanb)=1/3
即:(x+1)/(x-1)=1/3
解得x=-2即tana /tanb=-2
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