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

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

Avaliar

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

Passos Para a Resolução

Evaluate trigonometric functions in the problem

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

Multiplique 5 e -0,35836794954530027 para obter -1,79183974772650135.

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

Multiplique 2 e 111 para obter 222.

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

Subtraia 222 de -1,79183974772650135 para obter -223,79183974772650135.

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

Multiplique 5 e 0,9335804264972017 para obter 4,6679021324860085.

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

Some 4,6679021324860085 e 2 para obter 6,6679021324860085.

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

Expanda \frac{-223,79183974772650135}{6,6679021324860085} ao multiplicar o numerador e o denominador por 100000000000000000.

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

Reduza a fração \frac{-22379183974772650135}{666790213248600850} para os termos mais baixos ao retirar e anular 5.

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

Converta 111 na fração \frac{14802742734118938870}{133358042649720170}.

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

Uma vez que -\frac{4475836794954530027}{133358042649720170} e \frac{14802742734118938870}{133358042649720170} têm o mesmo denominador, some-os ao somar os respetivos numeradores.

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

Some -4475836794954530027 e 14802742734118938870 para obter 10326905939164408843.

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

Fatorizar

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