Whakaoti i te 15+10cos19-13cos26/10sin19+13sin26

$$\frac { 15 + 10 \cos 19 - 13 \cos 26 } { 10 \sin 19 + 13 \sin 26 }$$

Aromātai

$$\frac{63854315770519985}{44772532264147863}\approx 1.426193975$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$\frac{15 + 10 \cdot 0.9455185755993168 - 13 \cdot 0.898794046299167}{10 \cdot 0.32556815445715664 + 13 \cdot 0.4383711467890774}$$

Whakareatia te 10 ki te 0.9455185755993168, ka 9.455185755993168.

$$\frac{15+9.455185755993168-13\times 0.898794046299167}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Tāpirihia te 15 ki te 9.455185755993168, ka 24.455185755993168.

$$\frac{24.455185755993168-13\times 0.898794046299167}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Whakareatia te 13 ki te 0.898794046299167, ka 11.684322601889171.

$$\frac{24.455185755993168-11.684322601889171}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Tangohia te 11.684322601889171 i te 24.455185755993168, ka 12.770863154103997.

$$\frac{12.770863154103997}{10\times 0.32556815445715664+13\times 0.4383711467890774}$$

Whakareatia te 10 ki te 0.32556815445715664, ka 3.2556815445715664.

$$\frac{12.770863154103997}{3.2556815445715664+13\times 0.4383711467890774}$$

Whakareatia te 13 ki te 0.4383711467890774, ka 5.6988249082580062.

$$\frac{12.770863154103997}{3.2556815445715664+5.6988249082580062}$$

Tāpirihia te 3.2556815445715664 ki te 5.6988249082580062, ka 8.9545064528295726.

$$\frac{12.770863154103997}{8.9545064528295726}$$

Whakarohaina te \frac{12.770863154103997}{8.9545064528295726} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\frac{127708631541039970}{89545064528295726}$$

Whakahekea te hautanga \frac{127708631541039970}{89545064528295726} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{63854315770519985}{44772532264147863}$$

Tauwehe

$$\frac{5 \cdot 19 \cdot 331 \cdot 2030666744173}{3 \cdot 7 \cdot 1979 \cdot 2267 \cdot 475220371} = 1\frac{19081783506372120}{44772532264147864} = 1.4261939752210997$$