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  • 1)tan(45°+a)=cosa+sina/cosa-sina

    1)tan(45°+a)=cosa+sina/cosa-sina
    2)tan(x+y)tan(x-y)=tan^2x-tan^2y/1-tan^2xtan^y
    3)tanx+tany/tanx-tany=sin(x+y)/sin(x-y)
    數學人氣:312 ℃時間:2020-04-20 03:32:45
    優(yōu)質解答
    1
    tan(45°+a)=1+tana/1-tana=cosa+sina/cosa-sina
    2
    tan(x+y)tan(x-y)=[(tanx+tany)(tanx-tany)]/[(1-tanxtany)(1+tanxytany)]
    =(tan²x-tan²y)/(1-tan²xtan²y)
    3.
    tanx+tany/tanx-tany
    =[(sinx/cosx)+(siny/cosy)]/[(sinx/cosx)-(siny/cosy)]
    =(sinxcosy+sinycosx)/(sinxcosy-cosxsiny)
    =sin(x+y)/sin(x-y)
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