Lutasin ang 8.92divsin(47)*sin(53)

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$8.92 / 0.7313537016191705 \cdot 0.7986355100472928$$

I-expand ang \frac{8.92}{0.7313537016191705} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

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

Bawasan ang fraction \frac{89200000000000000}{7313537016191705} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

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

I-convert ang decimal number na 0.7986355100472928 sa fraction na \frac{249573596889779}{10000000000}. Bawasan ang fraction \frac{249573596889779}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

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

I-multiply ang \frac{17840000000000000}{1462707403238341} sa \frac{249573596889779}{312500000000000} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{17840000000000000\times 249573596889779}{1462707403238341\times 312500000000000}.

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

Bawasan ang fraction \frac{4452392968513657360000000000000}{457096063511981562500000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2500000000000.

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

I-factor

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