sin(49)*87/sin(64) eching

$$\sin ( 49 ) \times \frac{ 87 }{ \sin ( 64 ) }$$

Baholash

$$\frac{65659733479381164}{898794046299167}\approx 73,05314688$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$0,754709580222772 \cdot \frac{87}{0,898794046299167}$$

\frac{87}{0,898794046299167} kasrini uning surat va maxrajini 1000000000000000 ga ko‘paytirish bilan kengaytiring.

$$0,754709580222772\times \frac{87000000000000000}{898794046299167}$$

0,754709580222772 o‘nlik raqamni uning \frac{188677395055693}{10000000000} kasrga o‘giring. \frac{188677395055693}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{188677395055693}{250000000000000}\times \frac{87000000000000000}{898794046299167}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{188677395055693}{250000000000000} ni \frac{87000000000000000}{898794046299167} ga ko‘paytiring.

$$\frac{188677395055693\times 87000000000000000}{250000000000000\times 898794046299167}$$

\frac{188677395055693\times 87000000000000000}{250000000000000\times 898794046299167} kasridagi ko‘paytirishlarni bajaring.

$$\frac{16414933369845291000000000000000}{224698511574791750000000000000}$$

\frac{16414933369845291000000000000000}{224698511574791750000000000000} ulushini 250000000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{65659733479381164}{898794046299167}$$

Omil

$$\frac{3 \cdot 29 \cdot 4691 \cdot 19079 \cdot 2108137 \cdot 2 ^ {2}}{829 \cdot 4447 \cdot 243802709} = 73\frac{47768099541977}{898794046299167} = 73,05314688024322$$