sin64^circ/109=sin26^circ/a eching

$$\frac { \sin 64 ^ { \circ } } { 109 } = \frac { \sin 26 ^ { \circ } } { a }$$

a uchun yechish

$$a = \frac{238912275000047183}{4493970231495835} = 53\frac{731852730767913}{4493970231495835} \approx 53,162852154$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\frac{0,898794046299167}{109} = \frac{0,4383711467890774}{a}$$

a qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 109a ga, 109,a ning eng kichik karralisiga ko‘paytiring.

$$a\times 0,898794046299167=109\times 0,4383711467890774$$

47,7824550000094366 hosil qilish uchun 109 va 0,4383711467890774 ni ko'paytirish.

$$a\times 0,898794046299167=47,7824550000094366$$

Ikki tarafini 0,898794046299167 ga bo‘ling.

$$a=\frac{47,7824550000094366}{0,898794046299167}$$

\frac{47,7824550000094366}{0,898794046299167} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$a=\frac{477824550000094366}{8987940462991670}$$

\frac{477824550000094366}{8987940462991670} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{238912275000047183}{4493970231495835}$$