Resolver 12*98-0275*7*98*cos(37)-7*98*sin(37)/19

$$\frac { 12 \times 98 - 0275 \times 7 \times 98 \times \cos ( 37 ) - 7 \times 98 \times \sin ( 37 ) } { 19 }$$

Avaliar

$$\frac{3815774470588474331}{95000000000000000}\approx 40,166047059$$

Passos Para a Resolução

Evaluate trigonometric functions in the problem

$$\frac{12 \cdot 98 - 0 \cdot 275 \cdot 7 \cdot 98 \cdot 0,7986355100472928 - 7 \cdot 98 \cdot 0,6018150231520483}{19}$$

Multiplique 12 e 98 para obter 1176.

$$\frac{1176-0\times 275\times 7\times 98\times 0,7986355100472928-7\times 98\times 0,6018150231520483}{19}$$

Multiplique 0 e 275 para obter 0.

$$\frac{1176-0\times 7\times 98\times 0,7986355100472928-7\times 98\times 0,6018150231520483}{19}$$

Multiplique 0 e 7 para obter 0.

$$\frac{1176-0\times 98\times 0,7986355100472928-7\times 98\times 0,6018150231520483}{19}$$

Multiplique 0 e 98 para obter 0.

$$\frac{1176-0\times 0,7986355100472928-7\times 98\times 0,6018150231520483}{19}$$

Multiplique 0 e 0,7986355100472928 para obter 0.

$$\frac{1176-0-7\times 98\times 0,6018150231520483}{19}$$

Subtraia 0 de 1176 para obter 1176.

$$\frac{1176-7\times 98\times 0,6018150231520483}{19}$$

Multiplique 7 e 98 para obter 686.

$$\frac{1176-686\times 0,6018150231520483}{19}$$

Multiplique 686 e 0,6018150231520483 para obter 412,8451058823051338.

$$\frac{1176-412,8451058823051338}{19}$$

Subtraia 412,8451058823051338 de 1176 para obter 763,1548941176948662.

$$\frac{763,1548941176948662}{19}$$

Expanda \frac{763,1548941176948662}{19} ao multiplicar o numerador e o denominador por 10000000000000000.

$$\frac{7631548941176948662}{190000000000000000}$$

Reduza a fração \frac{7631548941176948662}{190000000000000000} para os termos mais baixos ao retirar e anular 2.

$$\frac{3815774470588474331}{95000000000000000}$$

Fatorizar

$$\frac{23 \cdot 101 \cdot 3666119 \cdot 9143887 \cdot 7 ^ {2}}{19 \cdot 2 ^ {15} \cdot 5 ^ {16}} = 40\frac{15774470588474368}{95000000000000000} = 40,166047058826045$$