sin52^circ/45^circsin115^circ eching

$$\frac { \sin 52 ^ { \circ } } { 45 ^ { \circ } } \sin 115 ^ { \circ }$$

Baholash

$$\frac{7141802822623910782639003613}{450000000000000000000000000000}\approx 0,015870673$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{0,788010753606722}{45} 0,90630778703665$$

\frac{0,788010753606722}{45} kasrini uning surat va maxrajini 1000000000000000 ga ko‘paytirish bilan kengaytiring.

$$\frac{788010753606722}{45000000000000000}\times 0,90630778703665$$

\frac{788010753606722}{45000000000000000} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{394005376803361}{22500000000000000}\times 0,90630778703665$$

0,90630778703665 o‘nlik raqamni uning \frac{18126155740733}{10000000000} kasrga o‘giring. \frac{18126155740733}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{394005376803361}{22500000000000000}\times \frac{18126155740733}{20000000000000}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{394005376803361}{22500000000000000} ni \frac{18126155740733}{20000000000000} ga ko‘paytiring.

$$\frac{394005376803361\times 18126155740733}{22500000000000000\times 20000000000000}$$

\frac{394005376803361\times 18126155740733}{22500000000000000\times 20000000000000} kasridagi ko‘paytirishlarni bajaring.

$$\frac{7141802822623910782639003613}{450000000000000000000000000000}$$

Omil

$$\frac{66373 \cdot 273095321 \cdot 394005376803361}{2 ^ {28} \cdot 3 ^ {2} \cdot 5 ^ {29}} = 0,01587067293916425$$