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

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

Arvuta

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

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Korrutage 5 ja -0,35836794954530027, et leida -1,79183974772650135.

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

Korrutage 2 ja 111, et leida 222.

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

Lahutage 222 väärtusest -1,79183974772650135, et leida -223,79183974772650135.

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

Korrutage 5 ja 0,9335804264972017, et leida 4,6679021324860085.

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

Liitke 4,6679021324860085 ja 2, et leida 6,6679021324860085.

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

Saate \frac{-223,79183974772650135}{6,6679021324860085} laiendada, korrutades nii lugeja kui ka nimetaja 100000000000000000.

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

Taandage murd \frac{-22379183974772650135}{666790213248600850} vähimale ühiskordsele, eraldades ja taandades arvu 5.

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

Teisendage 111 murdarvuks \frac{14802742734118938870}{133358042649720170}.

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

Kuna murdudel -\frac{4475836794954530027}{133358042649720170} ja \frac{14802742734118938870}{133358042649720170} on sama nimetaja, liitke nende lugejad.

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

Liitke -4475836794954530027 ja 14802742734118938870, et leida 10326905939164408843.

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

Lahuta teguriteks

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