Whakaoti i te x=200tan(10)/tan(40)-tan(10)tan(40)

$$x = \frac{ 200 \tan ( 10 ) }{ \tan ( 40 ) - \tan ( 10 ) } \tan ( 40 )$$

Whakaoti mō x

$$x = \frac{73977952239538156400860490403951}{1656931626172037300000000000000} = 44\frac{1.0729606879685196 \times 10^{30}}{1.6569316261720373 \times 10^{30}} \approx 44.64755882$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$x = \frac{200 \cdot 0.17632698070846498}{0.8390996311772799 - 0.17632698070846498} 0.8390996311772799$$

Whakareatia te 200 ki te 0.17632698070846498, ka 35.265396141692996.

$$x=\frac{35.265396141692996}{0.8390996311772799-0.17632698070846498}\times 0.8390996311772799$$

Tangohia te 0.17632698070846498 i te 0.8390996311772799, ka 0.66277265046881492.

$$x=\frac{35.265396141692996}{0.66277265046881492}\times 0.8390996311772799$$

Whakarohaina te \frac{35.265396141692996}{0.66277265046881492} mā te whakarea i te taurunga me te tauraro ki te 100000000000000000.

$$x=\frac{3526539614169299600}{66277265046881492}\times 0.8390996311772799$$

Whakahekea te hautanga \frac{3526539614169299600}{66277265046881492} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{881634903542324900}{16569316261720373}\times 0.8390996311772799$$

Me tahuri ki tau ā-ira 0.8390996311772799 ki te hautau \frac{8390996311772799}{10000000000}. Whakahekea te hautanga \frac{8390996311772799}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

$$x=\frac{881634903542324900}{16569316261720373}\times \frac{8390996311772799}{10000000000000000}$$

Me whakarea te \frac{881634903542324900}{16569316261720373} ki te \frac{8390996311772799}{10000000000000000} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{881634903542324900\times 8390996311772799}{16569316261720373\times 10000000000000000}$$

Mahia ngā whakarea i roto i te hautanga \frac{881634903542324900\times 8390996311772799}{16569316261720373\times 10000000000000000}.

$$x=\frac{7397795223953815640086049040395100}{165693162617203730000000000000000}$$

Whakahekea te hautanga \frac{7397795223953815640086049040395100}{165693162617203730000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 100.

$$x=\frac{73977952239538156400860490403951}{1656931626172037300000000000000}$$

Tautapa x

$$x≔\frac{73977952239538156400860490403951}{1656931626172037300000000000000}$$