Whakaoti i te 5cos(111)-2*111/5sin(111)+2+111=

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

Aromātai

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

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

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

Whakareatia te 5 ki te -0.35836794954530027, ka -1.79183974772650135.

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

Whakareatia te 2 ki te 111, ka 222.

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

Tangohia te 222 i te -1.79183974772650135, ka -223.79183974772650135.

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

Whakareatia te 5 ki te 0.9335804264972017, ka 4.6679021324860085.

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

Tāpirihia te 4.6679021324860085 ki te 2, ka 6.6679021324860085.

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

Whakarohaina te \frac{-223.79183974772650135}{6.6679021324860085} mā te whakarea i te taurunga me te tauraro ki te 100000000000000000.

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

Whakahekea te hautanga \frac{-22379183974772650135}{666790213248600850} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Me tahuri te 111 ki te hautau \frac{14802742734118938870}{133358042649720170}.

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

Tā te mea he rite te tauraro o -\frac{4475836794954530027}{133358042649720170} me \frac{14802742734118938870}{133358042649720170}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te -4475836794954530027 ki te 14802742734118938870, ka 10326905939164408843.

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

Tauwehe

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