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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 2×14300×0.45^3×(sin(180×0.27))^3÷3+14300×0.27×(1-sin(180×2×0.27)/(6.283×0.27))×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27) .
    Question type: Mathematical calculation
    Solution:
          2×14300×0.45^3×(sin(180×0.27))^3÷3+14300×0.27×(1-sin(180×2×0.27)/(6.283×0.27))×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(sin48.6)^3÷3+14300×0.27×(1-sin(180×2×0.27)/(6.283×0.27))×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×(1-sin(180×2×0.27)/(6.283×0.27))×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×(1-sin97.2/(6.283×0.27))×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×(1-sin97.2/1.69641)×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(sin48.6+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(sin48.6+sin(180×0.71))÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(sin48.6+sin127.8)÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(-0.151199)÷(1.25-3×0.27)
        =2×14300×0.45^3×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =2×14300×0.091125×(-0.995521)^3÷3+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =2×14300×0.091125×-0.986623094467806÷3+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =28600×0.091125×(-0.986623094467806)÷3+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =2606.175×(-0.986623094467806)÷3+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =(-2571.312443)÷3+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =(-857.104148)+14300×0.27×0.889035×0.39×(-0.151199)÷0.44
        =-857.104148+3861×0.889035×0.39×(-0.151199)÷0.44
        =-857.104148+3432.564135×0.39×(-0.151199)÷0.44
        =-857.104148+1338.700013×(-0.151199)÷0.44
        =-857.104148+(-202.410103)÷0.44
        =-857.104148+(-460.022961)
        =-1317.127109

    Answer:2×14300×0.45^3×(sin(180×0.27))^3÷3+14300×0.27×(1-sin(180×2×0.27)/(6.283×0.27))×(0.45-0.06)×(sin(180×0.27)+sin(180×(1.25-2×0.27)))÷(1.25-3×0.27)=-1317.127109
    Note: Radian


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