数学
         
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    总述:本次共解1题。其中
           ☆算术计算1题

〖1/1算式〗
    作业:求算式 -90-arctan(0.12×0.205)-arctan(0.02×0.205)-arctan(1/0.205×0.205)-arctan(1/23.894×0.205)+arctan(1/1.3×0.205)+arctan(1/7.073×0.205) 的值.
    题型:数学计算
    解:
          -90-arctan(0.12×0.205)-arctan(0.02×0.205)-arctan(1/0.205×0.205)-arctan(1/23.894×0.205)+arctan(1/1.3×0.205)+arctan(1/7.073×0.205)
        =-90-arctan0.0246-arctan(0.02×0.205)-arctan(1/0.205×0.205)-arctan(1/23.894×0.205)+arctan(1/1.3×0.205)+arctan(1/7.073×0.205)
        =-90-arctan0.0246-arctan0.0041-arctan(1/0.205×0.205)-arctan(1/23.894×0.205)+arctan(1/1.3×0.205)+arctan(1/7.073×0.205)
        =-90-arctan0.0246-arctan0.0041-arctan1-arctan(1/23.894×0.205)+arctan(1/1.3×0.205)+arctan(1/7.073×0.205)
        =-90-arctan0.0246-arctan0.0041-arctan1-arctan0.00858+arctan(1/1.3×0.205)+arctan(1/7.073×0.205)
        =-90-arctan0.0246-arctan0.0041-arctan1-arctan0.00858+arctan0.157692+arctan(1/7.073×0.205)
        =-90-arctan0.0246-arctan0.0041-arctan1-arctan0.00858+arctan0.157692+arctan0.028984
        =-90-0.024595-arctan0.0041-arctan1-arctan0.00858+arctan0.157692+arctan0.028984
        =-90-0.024595-0.0041-arctan1-arctan0.00858+arctan0.157692+arctan0.028984
        =-90-0.024595-0.0041-0.785398-arctan0.00858+arctan0.157692+arctan0.028984
        =-90-0.024595-0.0041-0.785398-0.00858+arctan0.157692+arctan0.028984
        =-90-0.024595-0.0041-0.785398-0.00858+0.156404+arctan0.028984
        =-90-0.024595-0.0041-0.785398-0.00858+0.156404+0.028976
        =-90.024595-0.0041-0.785398-0.00858+0.156404+0.028976
        =-90.028695-0.785398-0.00858+0.156404+0.028976
        =-90.814093-0.00858+0.156404+0.028976
        =-90.822673+0.156404+0.028976
        =-90.666269+0.028976
        =-90.637293

    答案:-90-arctan(0.12×0.205)-arctan(0.02×0.205)-arctan(1/0.205×0.205)-arctan(1/23.894×0.205)+arctan(1/1.3×0.205)+arctan(1/7.073×0.205)=-90.637293
    注:弧度制


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