Solve 8.92divsin(47)*sin(53)

$$8.92 \div \sin ( 47 ) \times \sin ( 53 )$$

Evaluate

$$\frac{1780957187405462944}{182838425404792625}\approx 9.740606678$$

Solution Steps

Evaluate trigonometric functions in the problem

$$8.92 / 0.7313537016191705 \cdot 0.7986355100472928$$

Expand \frac{8.92}{0.7313537016191705} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{89200000000000000}{7313537016191705}\times 0.7986355100472928$$

Reduce the fraction \frac{89200000000000000}{7313537016191705} to lowest terms by extracting and canceling out 5.

$$\frac{17840000000000000}{1462707403238341}\times 0.7986355100472928$$

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.

$$\frac{17840000000000000}{1462707403238341}\times \frac{249573596889779}{312500000000000}$$

Multiply \frac{17840000000000000}{1462707403238341} times \frac{249573596889779}{312500000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17840000000000000\times 249573596889779}{1462707403238341\times 312500000000000}$$

Do the multiplications in the fraction \frac{17840000000000000\times 249573596889779}{1462707403238341\times 312500000000000}.

$$\frac{4452392968513657360000000000000}{457096063511981562500000000000}$$

Reduce the fraction \frac{4452392968513657360000000000000}{457096063511981562500000000000} to lowest terms by extracting and canceling out 2500000000000.

$$\frac{1780957187405462944}{182838425404792625}$$

Factor

$$\frac{79 \cdot 223 \cdot 3159159454301 \cdot 2 ^ {5}}{13 \cdot 19 \cdot 8647 \cdot 684849349 \cdot 5 ^ {3}} = 9\frac{1.3541135876232928 \times 10^{17}}{1.8283842540479265 \times 10^{17}} = 9.740606677521626$$