Riješi 5cos(111)-2*111/5sin(111)+2+111=

$$\frac{ 5 \cos ( 111 ) -2 \times 111 }{ 5 \sin ( 111 ) +2 } +111=$$

Procijeni

$$\frac{10326905939164408843}{133358042649720170}\approx 77,437443846$$

Koraci za rješenje

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot -0,35836794954530027 - 2 \cdot 111}{5 \cdot 0,9335804264972017 + 2} + 111$$

Pomnožite 5 i -0,35836794954530027 da biste dobili -1,79183974772650135.

$$\frac{-1,79183974772650135-2\times 111}{5\times 0,9335804264972017+2}+111$$

Pomnožite 2 i 111 da biste dobili 222.

$$\frac{-1,79183974772650135-222}{5\times 0,9335804264972017+2}+111$$

Oduzmite 222 od -1,79183974772650135 da biste dobili -223,79183974772650135.

$$\frac{-223,79183974772650135}{5\times 0,9335804264972017+2}+111$$

Pomnožite 5 i 0,9335804264972017 da biste dobili 4,6679021324860085.

$$\frac{-223,79183974772650135}{4,6679021324860085+2}+111$$

Saberite 4,6679021324860085 i 2 da biste dobili 6,6679021324860085.

$$\frac{-223,79183974772650135}{6,6679021324860085}+111$$

Proširite \frac{-223,79183974772650135}{6,6679021324860085} množenjem i brojioca i dijeljenika sa 100000000000000000.

$$\frac{-22379183974772650135}{666790213248600850}+111$$

Svedite razlomak \frac{-22379183974772650135}{666790213248600850} na najprostije elemente rastavlјanjem i kraćenjem 5.

$$-\frac{4475836794954530027}{133358042649720170}+111$$

Konvertirajte 111 u razlomak \frac{14802742734118938870}{133358042649720170}.

$$-\frac{4475836794954530027}{133358042649720170}+\frac{14802742734118938870}{133358042649720170}$$

Pošto -\frac{4475836794954530027}{133358042649720170} i \frac{14802742734118938870}{133358042649720170} imaju isti imenilac, saberite ih tako što ćete sabrati njihove brojioce.

$$\frac{-4475836794954530027+14802742734118938870}{133358042649720170}$$

Saberite -4475836794954530027 i 14802742734118938870 da biste dobili 10326905939164408843.

$$\frac{10326905939164408843}{133358042649720170}$$

Faktor

$$\frac{43 \cdot 47 \cdot 56358187 \cdot 90666509}{2 \cdot 5 \cdot 37 \cdot 42793 \cdot 8422572437} = 77\frac{58336655135956300}{1,3335804264972018 \times 10^{17}} = 77,43744384648164$$