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           ☆算术计算1题

〖1/1算式〗
    作业:求算式 arctan(30/2)+arctan(30/6)-arctan(30/12)-arctan(30/60)-arctan(30/80) 的值.
    题型:数学计算
    解:
          arctan(30/2)+arctan(30/6)-arctan(30/12)-arctan(30/60)-arctan(30/80)
        =arctan15+arctan(30/6)-arctan(30/12)-arctan(30/60)-arctan(30/80)
        =arctan15+arctan5-arctan(30/12)-arctan(30/60)-arctan(30/80)
        =arctan15+arctan5-arctan2.5-arctan(30/60)-arctan(30/80)
        =arctan15+arctan5-arctan2.5-arctan0.5-arctan(30/80)
        =arctan15+arctan5-arctan2.5-arctan0.5-arctan0.375
        =1.504228+arctan5-arctan2.5-arctan0.5-arctan0.375

        =1.504228+1.373401-arctan2.5-arctan0.5-arctan0.375
        =1.504228+1.373401-1.19029-arctan0.5-arctan0.375
        =1.504228+1.373401-1.19029-0.463648-arctan0.375
        =1.504228+1.373401-1.19029-0.463648-0.358771
        =2.877629-1.19029-0.463648-0.358771
        =1.687339-0.463648-0.358771
        =1.223691-0.358771
        =0.86492

    答案:arctan(30/2)+arctan(30/6)-arctan(30/12)-arctan(30/60)-arctan(30/80)=0.86492
    注:弧度制




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