Lutasin ang 892divsin(47)*sin(53)

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$892 / 0.7313537016191705 \cdot 0.7986355100472928$$

I-expand ang \frac{892}{0.7313537016191705} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

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

Bawasan ang fraction \frac{8920000000000000000}{7313537016191705} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

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

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.

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

I-multiply ang \frac{1784000000000000000}{1462707403238341} sa \frac{249573596889779}{312500000000000} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{1784000000000000000\times 249573596889779}{1462707403238341\times 312500000000000}.

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

Bawasan ang fraction \frac{445239296851365736000000000000000}{457096063511981562500000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 62500000000000.

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

I-factor

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