sin101/a=sin31/39 eching

$$\frac { \sin 101 } { a } = \frac { \sin 31 } { 39 }$$

a uchun yechish

$$a = \frac{63805766924098160}{858396791516757} = 74\frac{284404351858142}{858396791516757} \approx 74,331320381$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\frac{0,981627183447664}{a} = \frac{0,5150380749100542}{39}$$

a qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 39a ga, a,39 ning eng kichik karralisiga ko‘paytiring.

$$39\times 0,981627183447664=a\times 0,5150380749100542$$

38,283460154458896 hosil qilish uchun 39 va 0,981627183447664 ni ko'paytirish.

$$38,283460154458896=a\times 0,5150380749100542$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a\times 0,5150380749100542=38,283460154458896$$

Ikki tarafini 0,5150380749100542 ga bo‘ling.

$$a=\frac{38,283460154458896}{0,5150380749100542}$$

\frac{38,283460154458896}{0,5150380749100542} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$a=\frac{382834601544588960}{5150380749100542}$$

\frac{382834601544588960}{5150380749100542} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{63805766924098160}{858396791516757}$$