Rešite 5cos(111)-2*111/5sin(111)+2+111

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

Ovrednoti

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

Koraki rešitve

Evaluate trigonometric functions in the problem

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

Pomnožite 5 in -0,35836794954530027, da dobite -1,79183974772650135.

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

Pomnožite 2 in 111, da dobite 222.

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

Odštejte 222 od -1,79183974772650135, da dobite -223,79183974772650135.

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

Pomnožite 5 in 0,9335804264972017, da dobite 4,6679021324860085.

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

Seštejte 4,6679021324860085 in 2, da dobite 6,6679021324860085.

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

Razširite \frac{-223,79183974772650135}{6,6679021324860085} tako, da pomnožite števec in imenovalec s številom 100000000000000000.

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

Zmanjšajte ulomek \frac{-22379183974772650135}{666790213248600850} na najmanjši imenovalec tako, da izpeljete in okrajšate 5.

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

Pretvorite 111 v ulomek \frac{14802742734118938870}{133358042649720170}.

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

-\frac{4475836794954530027}{133358042649720170} in \frac{14802742734118938870}{133358042649720170} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

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

Seštejte -4475836794954530027 in 14802742734118938870, da dobite 10326905939164408843.

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

Faktoriziraj

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