5/18-5/18*(2*sin^2(15)) eching

$$\frac { 5 } { 18 } - \frac { 5 } { 18 } \times ( 2 \times \sin ^ { 2 } ( 15 ) )$$

Baholash

$$\frac{1082531754730548337376257244674631}{4500000000000000000000000000000000}\approx 0,240562612$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{5}{18} - \frac{5}{18} \cdot {(2 \cdot 0,25881904510252074 ^ {2})}$$

\frac{5}{18}\times 2 ni yagona kasrga aylantiring.

$$\frac{5}{18}-\frac{5\times 2}{18}\times 0,25881904510252074^{2}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{5}{18}-\frac{10}{18}\times 0,25881904510252074^{2}$$

\frac{10}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{18}-\frac{5}{9}\times 0,25881904510252074^{2}$$

2 daraja ko‘rsatkichini 0,25881904510252074 ga hisoblang va 0,0669872981077806650494971021301476 ni qiymatni oling.

$$\frac{5}{18}-\frac{5}{9}\times 0,0669872981077806650494971021301476$$

0,0669872981077806650494971021301476 o‘nlik raqamni uning \frac{167468245269451662623742755325369}{10000000000} kasrga o‘giring. \frac{167468245269451662623742755325369}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{18}-\frac{5}{9}\times \frac{167468245269451662623742755325369}{2500000000000000000000000000000000}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{9} ni \frac{167468245269451662623742755325369}{2500000000000000000000000000000000} ga ko‘paytiring.

$$\frac{5}{18}-\frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}$$

\frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{18}-\frac{837341226347258313118713776626845}{22500000000000000000000000000000000}$$

\frac{837341226347258313118713776626845}{22500000000000000000000000000000000} ulushini 45 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{18}-\frac{18607582807716851402638083925041}{500000000000000000000000000000000}$$

18 va 500000000000000000000000000000000 ning eng kichik umumiy karralisi 4500000000000000000000000000000000 ga teng. \frac{5}{18} va \frac{18607582807716851402638083925041}{500000000000000000000000000000000} ni 4500000000000000000000000000000000 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1250000000000000000000000000000000}{4500000000000000000000000000000000}-\frac{167468245269451662623742755325369}{4500000000000000000000000000000000}$$

\frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} va \frac{167468245269451662623742755325369}{4500000000000000000000000000000000} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1250000000000000000000000000000000-167468245269451662623742755325369}{4500000000000000000000000000000000}$$

1082531754730548337376257244674631 olish uchun 1250000000000000000000000000000000 dan 167468245269451662623742755325369 ni ayirish.

$$\frac{1082531754730548337376257244674631}{4500000000000000000000000000000000}$$

Omil

$$\frac{41 \cdot 311 \cdot 10529 \cdot 164555799630190734056761 \cdot 7 ^ {2}}{2 ^ {32} \cdot 3 ^ {2} \cdot 5 ^ {33}} = 0,24056261216234404$$