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

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

I-evaluate

$$\frac{10326905939164408843}{133358042649720170}\approx 77.437443846$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot -0.35836794954530027 - 2 \cdot 111}{5 \cdot 0.9335804264972017 + 2} + 111$$

I-multiply ang 5 at -0.35836794954530027 para makuha ang -1.79183974772650135.

$$\frac{-1.79183974772650135-2\times 111}{5\times 0.9335804264972017+2}+111$$

I-multiply ang 2 at 111 para makuha ang 222.

$$\frac{-1.79183974772650135-222}{5\times 0.9335804264972017+2}+111$$

I-subtract ang 222 mula sa -1.79183974772650135 para makuha ang -223.79183974772650135.

$$\frac{-223.79183974772650135}{5\times 0.9335804264972017+2}+111$$

I-multiply ang 5 at 0.9335804264972017 para makuha ang 4.6679021324860085.

$$\frac{-223.79183974772650135}{4.6679021324860085+2}+111$$

Idagdag ang 4.6679021324860085 at 2 para makuha ang 6.6679021324860085.

$$\frac{-223.79183974772650135}{6.6679021324860085}+111$$

I-expand ang \frac{-223.79183974772650135}{6.6679021324860085} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100000000000000000.

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

Bawasan ang fraction \frac{-22379183974772650135}{666790213248600850} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

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

I-convert ang 111 sa fraction na \frac{14802742734118938870}{133358042649720170}.

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

Dahil may parehong denominator ang -\frac{4475836794954530027}{133358042649720170} at \frac{14802742734118938870}{133358042649720170}, pagsamahin ang mga ito sa pamamagitan ng pagsasama sa mga numerator ng mga ito.

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

Idagdag ang -4475836794954530027 at 14802742734118938870 para makuha ang 10326905939164408843.

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

I-factor

$$\frac{43 \cdot 47 \cdot 56358187 \cdot 90666509}{2 \cdot 5 \cdot 37 \cdot 42793 \cdot 8422572437} = 77\frac{58336655135956300}{1.3335804264972018 \times 10^{17}} = 77.43744384648164$$