Solve 5*98*sin28^circ-12/5

$$\frac { 5 \times 98 \times \sin 28 ^ { \circ } - 12 } { 5 }$$

Evaluate

$$43.6082131530172984$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot 98 \cdot 0.4694715627858908 - 12}{5}$$

Multiply 5 and 98 to get 490.

$$\frac{490\times 0.4694715627858908-12}{5}$$

Multiply 490 and 0.4694715627858908 to get 230.041065765086492.

$$\frac{230.041065765086492-12}{5}$$

Subtract 12 from 230.041065765086492 to get 218.041065765086492.

$$\frac{218.041065765086492}{5}$$

Expand \frac{218.041065765086492}{5} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{218041065765086492}{5000000000000000}$$

Reduce the fraction \frac{218041065765086492}{5000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{54510266441271623}{1250000000000000}$$

Factor

$$\frac{54510266441271623}{2 ^ {13} \cdot 5 ^ {16}} = 43\frac{760266441271624}{1250000000000000} = 43.608213153017296$$