sin52^circ/45=sin118^circ/a eching

$$\frac { \sin 52 ^ { \circ } } { 45 } = \frac { \sin 118 ^ { \circ } } { a }$$

a uchun yechish

$$a = \frac{79465283357303439}{1576021507213444} = 50\frac{664207996631240}{1576021507213444} \approx 50,421446023$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\frac{0,788010753606722}{45} = \frac{0,8829475928589271}{a}$$

a qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 45a ga, 45,a ning eng kichik karralisiga ko‘paytiring.

$$a\times 0,788010753606722=45\times 0,8829475928589271$$

39,7326416786517195 hosil qilish uchun 45 va 0,8829475928589271 ni ko'paytirish.

$$a\times 0,788010753606722=39,7326416786517195$$

Ikki tarafini 0,788010753606722 ga bo‘ling.

$$a=\frac{39,7326416786517195}{0,788010753606722}$$

\frac{39,7326416786517195}{0,788010753606722} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$a=\frac{397326416786517195}{7880107536067220}$$

\frac{397326416786517195}{7880107536067220} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{79465283357303439}{1576021507213444}$$