15+10cos19-13cos26/10sin19+13sin26 eching

$$\frac { 15 + 10 \cos 19 - 13 \cos 26 } { 10 \sin 19 + 13 \sin 26 }$$

Baholash

$$\frac{63854315770519985}{44772532264147863}\approx 1,426193975$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{15 + 10 \cdot 0,9455185755993168 - 13 \cdot 0,898794046299167}{10 \cdot 0,32556815445715664 + 13 \cdot 0,4383711467890774}$$

9,455185755993168 hosil qilish uchun 10 va 0,9455185755993168 ni ko'paytirish.

$$\frac{15+9,455185755993168-13\times 0,898794046299167}{10\times 0,32556815445715664+13\times 0,4383711467890774}$$

24,455185755993168 olish uchun 15 va 9,455185755993168'ni qo'shing.

$$\frac{24,455185755993168-13\times 0,898794046299167}{10\times 0,32556815445715664+13\times 0,4383711467890774}$$

11,684322601889171 hosil qilish uchun 13 va 0,898794046299167 ni ko'paytirish.

$$\frac{24,455185755993168-11,684322601889171}{10\times 0,32556815445715664+13\times 0,4383711467890774}$$

12,770863154103997 olish uchun 24,455185755993168 dan 11,684322601889171 ni ayirish.

$$\frac{12,770863154103997}{10\times 0,32556815445715664+13\times 0,4383711467890774}$$

3,2556815445715664 hosil qilish uchun 10 va 0,32556815445715664 ni ko'paytirish.

$$\frac{12,770863154103997}{3,2556815445715664+13\times 0,4383711467890774}$$

5,6988249082580062 hosil qilish uchun 13 va 0,4383711467890774 ni ko'paytirish.

$$\frac{12,770863154103997}{3,2556815445715664+5,6988249082580062}$$

8,9545064528295726 olish uchun 3,2556815445715664 va 5,6988249082580062'ni qo'shing.

$$\frac{12,770863154103997}{8,9545064528295726}$$

\frac{12,770863154103997}{8,9545064528295726} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$\frac{127708631541039970}{89545064528295726}$$

\frac{127708631541039970}{89545064528295726} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{63854315770519985}{44772532264147863}$$

Omil

$$\frac{5 \cdot 19 \cdot 331 \cdot 2030666744173}{3 \cdot 7 \cdot 1979 \cdot 2267 \cdot 475220371} = 1\frac{19081783506372120}{44772532264147864} = 1,4261939752210997$$