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 4*(cos(2*π/7))^2+4*(cos(4*π/7))^2+4*(cos(8*π/7))^2 .
    Question type: Mathematical calculation
    Solution:
          4*(cos(2*π/7))^2+4*(cos(4*π/7))^2+4*(cos(8*π/7))^2
        =4*(cos0.897598)^2+4*(cos(4*π/7))^2+4*(cos(8*π/7))^2
        =4*0.62349^2+4*(cos(4*π/7))^2+4*(cos(8*π/7))^2
        =4*0.62349^2+4*(cos1.795196)^2+4*(cos(8*π/7))^2
        =4*0.62349^2+4*(-0.222521)^2+4*(cos(8*π/7))^2
        =4*0.62349^2+4*(-0.222521)^2+4*(cos3.590392)^2
        =4*0.62349^2+4*(-0.222521)^2+4*(-0.900969)^2
        =4*0.3887397801+4*(-0.222521)^2+4*(-0.900969)^2
        =4*0.3887397801+4*0.049515595441+4*(-0.900969)^2
        =4*0.3887397801+4*0.049515595441+4*0.811745138961
        =1.554959+4*0.049515595441+4*0.811745138961
        =1.554959+0.198062+4*0.811745138961
        =1.554959+0.198062+3.246981
        =1.753021+3.246981
        =5.000002

    Answer:4*(cos(2*π/7))^2+4*(cos(4*π/7))^2+4*(cos(8*π/7))^2=5.000002
    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。