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

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

Evaluate

$$\frac{3815774470588474331}{95000000000000000}\approx 40.166047059$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{12 \cdot 98 - 0 \cdot 275 \cdot 7 \cdot 98 \cdot 0.7986355100472928 - 7 \cdot 98 \cdot 0.6018150231520483}{19}$$

Multiply 12 and 98 to get 1176.

$$\frac{1176-0\times 275\times 7\times 98\times 0.7986355100472928-7\times 98\times 0.6018150231520483}{19}$$

Multiply 0 and 275 to get 0.

$$\frac{1176-0\times 7\times 98\times 0.7986355100472928-7\times 98\times 0.6018150231520483}{19}$$

Multiply 0 and 7 to get 0.

$$\frac{1176-0\times 98\times 0.7986355100472928-7\times 98\times 0.6018150231520483}{19}$$

Multiply 0 and 98 to get 0.

$$\frac{1176-0\times 0.7986355100472928-7\times 98\times 0.6018150231520483}{19}$$

Multiply 0 and 0.7986355100472928 to get 0.

$$\frac{1176-0-7\times 98\times 0.6018150231520483}{19}$$

Subtract 0 from 1176 to get 1176.

$$\frac{1176-7\times 98\times 0.6018150231520483}{19}$$

Multiply 7 and 98 to get 686.

$$\frac{1176-686\times 0.6018150231520483}{19}$$

Multiply 686 and 0.6018150231520483 to get 412.8451058823051338.

$$\frac{1176-412.8451058823051338}{19}$$

Subtract 412.8451058823051338 from 1176 to get 763.1548941176948662.

$$\frac{763.1548941176948662}{19}$$

Expand \frac{763.1548941176948662}{19} by multiplying both numerator and the denominator by 10000000000000000.

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

Reduce the fraction \frac{7631548941176948662}{190000000000000000} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{23 \cdot 101 \cdot 3666119 \cdot 9143887 \cdot 7 ^ {2}}{19 \cdot 2 ^ {15} \cdot 5 ^ {16}} = 40\frac{15774470588474368}{95000000000000000} = 40.166047058826045$$