已知(1+tana)(1+tanb)=2,且a,b为锐角,求证a+b=π/4我有看到过这样的过程1+tanA+tanB+tanAtanB=2tanA+tanB=1-tanAtanBtan(A+B)=(tanA+tanB)/(1-tanAtanB)=1锐角则0
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/31 03:41:44
![已知(1+tana)(1+tanb)=2,且a,b为锐角,求证a+b=π/4我有看到过这样的过程1+tanA+tanB+tanAtanB=2tanA+tanB=1-tanAtanBtan(A+B)=(tanA+tanB)/(1-tanAtanB)=1锐角则0](/uploads/image/z/5421010-58-0.jpg?t=%E5%B7%B2%E7%9F%A5%281%2Btana%29%281%2Btanb%29%3D2%2C%E4%B8%94a%2Cb%E4%B8%BA%E9%94%90%E8%A7%92%2C%E6%B1%82%E8%AF%81a%2Bb%3D%CF%80%2F4%E6%88%91%E6%9C%89%E7%9C%8B%E5%88%B0%E8%BF%87%E8%BF%99%E6%A0%B7%E7%9A%84%E8%BF%87%E7%A8%8B1%2BtanA%2BtanB%2BtanAtanB%3D2tanA%2BtanB%3D1-tanAtanBtan%28A%2BB%29%3D%28tanA%2BtanB%29%2F%281-tanAtanB%29%3D1%E9%94%90%E8%A7%92%E5%88%990)
xR]N@JPRؒЛ D=@5*`QDA| P%:Ponv̷|j>3mrB5MQM4Y.NUGaHڋ%v%h:Y\8Ƙ<)Kvi
4%f>QApAWk4-B,&hV'R>xJ