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 -90-arctan(0.12×100)-arctan(0.02×100)-arctan(1/0.205×100)-arctan(1/23.894×100)+arctan(1/1.3×100)+arctan(1/7.073×100) .
    Question type: Mathematical calculation
    Solution:
          -90-arctan(0.12×100)-arctan(0.02×100)-arctan(1/0.205×100)-arctan(1/23.894×100)+arctan(1/1.3×100)+arctan(1/7.073×100)
        =-90-arctan12-arctan(0.02×100)-arctan(1/0.205×100)-arctan(1/23.894×100)+arctan(1/1.3×100)+arctan(1/7.073×100)
        =-90-arctan12-arctan2-arctan(1/0.205×100)-arctan(1/23.894×100)+arctan(1/1.3×100)+arctan(1/7.073×100)
        =-90-arctan12-arctan2-arctan487.8049-arctan(1/23.894×100)+arctan(1/1.3×100)+arctan(1/7.073×100)
        =-90-arctan12-arctan2-arctan487.8049-arctan4.1852+arctan(1/1.3×100)+arctan(1/7.073×100)
        =-90-arctan12-arctan2-arctan487.8049-arctan4.1852+arctan76.9231+arctan(1/7.073×100)
        =-90-arctan12-arctan2-arctan487.8049-arctan4.1852+arctan76.9231+arctan14.1383
        =-90-1.487655-arctan2-arctan487.8049-arctan4.1852+arctan76.9231+arctan14.1383
        =-90-1.487655-1.107149-arctan487.8049-arctan4.1852+arctan76.9231+arctan14.1383
        =-90-1.487655-1.107149-1.568746-arctan4.1852+arctan76.9231+arctan14.1383
        =-90-1.487655-1.107149-1.568746-1.336256+arctan76.9231+arctan14.1383
        =-90-1.487655-1.107149-1.568746-1.336256+1.557797+arctan14.1383
        =-90-1.487655-1.107149-1.568746-1.336256+1.557797+1.500184
        =-91.487655-1.107149-1.568746-1.336256+1.557797+1.500184
        =-92.594804-1.568746-1.336256+1.557797+1.500184
        =-94.16355-1.336256+1.557797+1.500184
        =-95.499806+1.557797+1.500184
        =-93.942009+1.500184
        =-92.441825

    Answer:-90-arctan(0.12×100)-arctan(0.02×100)-arctan(1/0.205×100)-arctan(1/23.894×100)+arctan(1/1.3×100)+arctan(1/7.073×100)=-92.441825
    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。