Mathematics
         
语言:中文    Language:English
Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation arctan(20/2)+arctan(20/6)-arctan(20/12)-arctan(20/60)-arctan(20/80) .
    Question type: Mathematical calculation
    Solution:
          arctan(20/2)+arctan(20/6)-arctan(20/12)-arctan(20/60)-arctan(20/80)
        =arctan10+arctan(20/6)-arctan(20/12)-arctan(20/60)-arctan(20/80)
        =arctan10+arctan3.333333-arctan(20/12)-arctan(20/60)-arctan(20/80)
        =arctan10+arctan3.333333-arctan1.666667-arctan(20/60)-arctan(20/80)
        =arctan10+arctan3.333333-arctan1.666667-arctan0.333333-arctan(20/80)
        =arctan10+arctan3.333333-arctan1.666667-arctan0.333333-arctan0.25
        =1.471128+arctan3.333333-arctan1.666667-arctan0.333333-arctan0.25
        =1.471128+1.27934-arctan1.666667-arctan0.333333-arctan0.25
        =1.471128+1.27934-1.030377-arctan0.333333-arctan0.25
        =1.471128+1.27934-1.030377-0.32175-arctan0.25
        =1.471128+1.27934-1.030377-0.32175-0.244979
        =2.750468-1.030377-0.32175-0.244979
        =1.720091-0.32175-0.244979
        =1.398341-0.244979
        =1.153362

    Answer:arctan(20/2)+arctan(20/6)-arctan(20/12)-arctan(20/60)-arctan(20/80)=1.153362
    Note: Radian


Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。