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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 2×14300×0.125×(sin(180×0.282))^3÷3+3575×0.282×(1-sin(180×2×0.282)/(6.283×0.282))×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282) .
    Question type: Mathematical calculation
    Solution:
          2×14300×0.125×(sin(180×0.282))^3÷3+3575×0.282×(1-sin(180×2×0.282)/(6.283×0.282))×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×(sin50.76)^3÷3+3575×0.282×(1-sin(180×2×0.282)/(6.283×0.282))×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×(1-sin(180×2×0.282)/(6.283×0.282))×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×(1-sin101.52/(6.283×0.282))×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×(1-sin101.52/1.771806)×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×0.52845×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×0.52845×0.4375×(sin50.76+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×0.52845×0.4375×(sin50.76+sin(180×0.686))÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×0.52845×0.4375×(sin50.76+sin123.48)÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×0.52845×0.4375×(-0.343371)÷(1.25-3×0.282)
        =2×14300×0.125×0.474607^3÷3+3575×0.282×0.52845×0.4375×(-0.343371)÷0.404
        =2×14300×0.125×0.106906083154127÷3+3575×0.282×0.52845×0.4375×(-0.343371)÷0.404
        =28600×0.125×0.106906083154127÷3+3575×0.282×0.52845×0.4375×(-0.343371)÷0.404
        =3575×0.106906083154127÷3+3575×0.282×0.52845×0.4375×(-0.343371)÷0.404
        =382.189247÷3+3575×0.282×0.52845×0.4375×(-0.343371)÷0.404
        =127.396416+3575×0.282×0.52845×0.4375×(-0.343371)÷0.404
        =127.396416+1008.15×0.52845×0.4375×(-0.343371)÷0.404
        =127.396416+532.756867×0.4375×(-0.343371)÷0.404
        =127.396416+233.081129×(-0.343371)÷0.404
        =127.396416+(-80.0333)÷0.404
        =127.396416+(-198.102228)
        =-70.705812

    Answer:2×14300×0.125×(sin(180×0.282))^3÷3+3575×0.282×(1-sin(180×2×0.282)/(6.283×0.282))×0.4375×(sin(180×0.282)+sin(180×(1.25-2×0.282)))÷(1.25-3×0.282)=-70.705812
    Note: Radian


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