sin26/a=sin14/3*9 eching

$$\frac { \sin 26 } { a } = \frac { \sin 14 } { 3 \cdot 9 }$$

a uchun yechish

$$a = \frac{394534032110169660}{8064063186655591} = 48\frac{7458999150701296}{8064063186655591} \approx 48,924967845$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\frac{0,4383711467890774}{a} = \frac{0,24192189559966773}{3 \cdot 9}$$

a qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini a ga ko'paytirish.

$$0,4383711467890774=\frac{1}{27}a\times 0,24192189559966773$$

0,24192189559966773 o‘nlik raqamni uning \frac{24192189559966773}{10000000000} kasrga o‘giring. \frac{24192189559966773}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0,4383711467890774=\frac{1}{27}a\times \frac{24192189559966773}{100000000000000000}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{27} ni \frac{24192189559966773}{100000000000000000} ga ko‘paytiring.

$$0,4383711467890774=\frac{1\times 24192189559966773}{27\times 100000000000000000}a$$

\frac{1\times 24192189559966773}{27\times 100000000000000000} kasridagi ko‘paytirishlarni bajaring.

$$0,4383711467890774=\frac{24192189559966773}{2700000000000000000}a$$

\frac{24192189559966773}{2700000000000000000} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0,4383711467890774=\frac{8064063186655591}{900000000000000000}a$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{8064063186655591}{900000000000000000}a=0,4383711467890774$$

Ikki tarafini \frac{900000000000000000}{8064063186655591} va teskari kasri \frac{8064063186655591}{900000000000000000} ga ko‘paytiring.

$$a=0,4383711467890774\times \frac{900000000000000000}{8064063186655591}$$

0,4383711467890774 o‘nlik raqamni uning \frac{2191855733945387}{10000000000} kasrga o‘giring. \frac{2191855733945387}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{900000000000000000}{8064063186655591}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2191855733945387}{5000000000000000} ni \frac{900000000000000000}{8064063186655591} ga ko‘paytiring.

$$a=\frac{2191855733945387\times 900000000000000000}{5000000000000000\times 8064063186655591}$$

\frac{2191855733945387\times 900000000000000000}{5000000000000000\times 8064063186655591} kasridagi ko‘paytirishlarni bajaring.

$$a=\frac{1972670160550848300000000000000000}{40320315933277955000000000000000}$$

\frac{1972670160550848300000000000000000}{40320315933277955000000000000000} ulushini 5000000000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{394534032110169660}{8064063186655591}$$