892divsin(47)*sin(53) eching

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

Baholash

$$\frac{7123828749621851776}{7313537016191705}\approx 974,060667752$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$892 / 0,7313537016191705 \cdot 0,7986355100472928$$

\frac{892}{0,7313537016191705} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$\frac{8920000000000000000}{7313537016191705}\times 0,7986355100472928$$

\frac{8920000000000000000}{7313537016191705} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1784000000000000000}{1462707403238341}\times 0,7986355100472928$$

0,7986355100472928 o‘nlik raqamni uning \frac{249573596889779}{10000000000} kasrga o‘giring. \frac{249573596889779}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1784000000000000000}{1462707403238341} ni \frac{249573596889779}{312500000000000} ga ko‘paytiring.

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

\frac{1784000000000000000\times 249573596889779}{1462707403238341\times 312500000000000} kasridagi ko‘paytirishlarni bajaring.

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

\frac{445239296851365736000000000000000}{457096063511981562500000000000} ulushini 62500000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

$$\frac{79 \cdot 223 \cdot 3159159454301 \cdot 2 ^ {7}}{5 \cdot 13 \cdot 19 \cdot 8647 \cdot 684849349} = 974\frac{443695851131490}{7313537016191705} = 974,0606677521628$$