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

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

Evalwa

$$\frac{63854315770519985}{44772532264147863}\approx 1.426193975$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$\frac{15 + 10 \cdot 0.9455185755993168 - 13 \cdot 0.898794046299167}{10 \cdot 0.32556815445715664 + 13 \cdot 0.4383711467890774}$$

Immultiplika 10 u 0.9455185755993168 biex tikseb 9.455185755993168.

$$\frac{15+9.455185755993168-13\times 0.898794046299167}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Żid 15 u 9.455185755993168 biex tikseb 24.455185755993168.

$$\frac{24.455185755993168-13\times 0.898794046299167}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Immultiplika 13 u 0.898794046299167 biex tikseb 11.684322601889171.

$$\frac{24.455185755993168-11.684322601889171}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Naqqas 11.684322601889171 minn 24.455185755993168 biex tikseb 12.770863154103997.

$$\frac{12.770863154103997}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Immultiplika 10 u 0.32556815445715664 biex tikseb 3.2556815445715664.

$$\frac{12.770863154103997}{3.2556815445715664+13\times 0.4383711467890774}$$

Immultiplika 13 u 0.4383711467890774 biex tikseb 5.6988249082580062.

$$\frac{12.770863154103997}{3.2556815445715664+5.6988249082580062}$$

Żid 3.2556815445715664 u 5.6988249082580062 biex tikseb 8.9545064528295726.

$$\frac{12.770863154103997}{8.9545064528295726}$$

Espandi \frac{12.770863154103997}{8.9545064528295726} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

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

Naqqas il-frazzjoni \frac{127708631541039970}{89545064528295726} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Fattur

$$\frac{5 \cdot 19 \cdot 331 \cdot 2030666744173}{3 \cdot 7 \cdot 1979 \cdot 2267 \cdot 475220371} = 1\frac{19081783506372120}{44772532264147864} = 1.4261939752210997$$