sin26/a=sin14/3.9 eching

$$\frac { \sin 26 } { a } = \frac { \sin 14 } { 3.9 }$$

a uchun yechish

$$a = \frac{56988249082580062}{8064063186655591} = 7\frac{539806775990927}{8064063186655591} \approx 7,0669398$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

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

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

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

\frac{0,24192189559966773}{3,9} kasrini uning surat va maxrajini 100000000000000000 ga ko‘paytirish bilan kengaytiring.

$$0,4383711467890774=a\times \frac{24192189559966773}{390000000000000000}$$

\frac{24192189559966773}{390000000000000000} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0,4383711467890774=a\times \frac{8064063186655591}{130000000000000000}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a\times \frac{8064063186655591}{130000000000000000}=0,4383711467890774$$

Ikki tarafini \frac{130000000000000000}{8064063186655591} va teskari kasri \frac{8064063186655591}{130000000000000000} ga ko‘paytiring.

$$a=0,4383711467890774\times \frac{130000000000000000}{8064063186655591}$$

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.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{130000000000000000}{8064063186655591}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2191855733945387}{5000000000000000} ni \frac{130000000000000000}{8064063186655591} ga ko‘paytiring.

$$a=\frac{2191855733945387\times 130000000000000000}{5000000000000000\times 8064063186655591}$$

\frac{2191855733945387\times 130000000000000000}{5000000000000000\times 8064063186655591} kasridagi ko‘paytirishlarni bajaring.

$$a=\frac{284941245412900310000000000000000}{40320315933277955000000000000000}$$

\frac{284941245412900310000000000000000}{40320315933277955000000000000000} ulushini 5000000000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{56988249082580062}{8064063186655591}$$