Solve 892divsin(47)*sin(53)

$$892 \div \sin ( 47 ) \times \sin ( 53 )$$

Evaluate

$$\frac{7123828749621851776}{7313537016191705}\approx 974.060667752$$

Solution Steps

Evaluate trigonometric functions in the problem

$$892 / 0.7313537016191705 \cdot 0.7986355100472928$$

Expand \frac{892}{0.7313537016191705} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{8920000000000000000}{7313537016191705}\times 0.7986355100472928$$

Reduce the fraction \frac{8920000000000000000}{7313537016191705} to lowest terms by extracting and canceling out 5.

$$\frac{1784000000000000000}{1462707403238341}\times 0.7986355100472928$$

Convert decimal number 0.7986355100472928 to fraction \frac{249573596889779}{10000000000}. Reduce the fraction \frac{249573596889779}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1784000000000000000}{1462707403238341}\times \frac{249573596889779}{312500000000000}$$

Multiply \frac{1784000000000000000}{1462707403238341} times \frac{249573596889779}{312500000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1784000000000000000\times 249573596889779}{1462707403238341\times 312500000000000}$$

Do the multiplications in the fraction \frac{1784000000000000000\times 249573596889779}{1462707403238341\times 312500000000000}.

$$\frac{445239296851365736000000000000000}{457096063511981562500000000000}$$

Reduce the fraction \frac{445239296851365736000000000000000}{457096063511981562500000000000} to lowest terms by extracting and canceling out 62500000000000.

$$\frac{7123828749621851776}{7313537016191705}$$

Factor

$$\frac{79 \cdot 223 \cdot 3159159454301 \cdot 2 ^ {7}}{5 \cdot 13 \cdot 19 \cdot 8647 \cdot 684849349} = 974\frac{443695851131490}{7313537016191705} = 974.0606677521628$$