sin5^circ/7=sin40^circ/a eching

$$\frac { \sin 5 ^ { \circ } } { 7 } = \frac { \sin 40 ^ { \circ } } { a }$$

a uchun yechish

$$a = \frac{449951326780577510}{8715574274765817} = 51\frac{5457038767520869}{8715574274765817} \approx 51,62612498$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\frac{0,08715574274765817}{7} = \frac{0,6427876096865393}{a}$$

a qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 7a ga, 7,a ning eng kichik karralisiga ko‘paytiring.

$$a\times 0,08715574274765817=7\times 0,6427876096865393$$

4,4995132678057751 hosil qilish uchun 7 va 0,6427876096865393 ni ko'paytirish.

$$a\times 0,08715574274765817=4,4995132678057751$$

Ikki tarafini 0,08715574274765817 ga bo‘ling.

$$a=\frac{4,4995132678057751}{0,08715574274765817}$$

\frac{4,4995132678057751}{0,08715574274765817} kasrini uning surat va maxrajini 100000000000000000 ga ko‘paytirish bilan kengaytiring.

$$a=\frac{449951326780577510}{8715574274765817}$$