sin101/a=sin31/34 eching

$$\frac { \sin 101 } { a } = \frac { \sin 31 } { 34 }$$

a uchun yechish

$$a = \frac{166876621186102880}{2575190374550271} = 64\frac{2064437214885536}{2575190374550271} \approx 64,801663922$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\frac{0,981627183447664}{a} = \frac{0,5150380749100542}{34}$$

a qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 34a ga, a,34 ning eng kichik karralisiga ko‘paytiring.

$$34\times 0,981627183447664=a\times 0,5150380749100542$$

33,375324237220576 hosil qilish uchun 34 va 0,981627183447664 ni ko'paytirish.

$$33,375324237220576=a\times 0,5150380749100542$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a\times 0,5150380749100542=33,375324237220576$$

Ikki tarafini 0,5150380749100542 ga bo‘ling.

$$a=\frac{33,375324237220576}{0,5150380749100542}$$

\frac{33,375324237220576}{0,5150380749100542} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$a=\frac{333753242372205760}{5150380749100542}$$

\frac{333753242372205760}{5150380749100542} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{166876621186102880}{2575190374550271}$$