Lahenda x=200tan(10)/tan(40)-tan(10)tan(40)

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

Lahendage ja leidke x

$$x = \frac{73977952239538156400860490403951}{1656931626172037300000000000000} = 44\frac{1,0729606879685196 \times 10^{30}}{1,6569316261720373 \times 10^{30}} \approx 44,64755882$$

Juhised lineaarvõrrandi lahendamiseks

Evaluate trigonometric functions in the problem

$$x = \frac{200 \cdot 0,17632698070846498}{0,8390996311772799 - 0,17632698070846498} 0,8390996311772799$$

Korrutage 200 ja 0,17632698070846498, et leida 35,265396141692996.

$$x=\frac{35,265396141692996}{0,8390996311772799-0,17632698070846498}\times 0,8390996311772799$$

Lahutage 0,17632698070846498 väärtusest 0,8390996311772799, et leida 0,66277265046881492.

$$x=\frac{35,265396141692996}{0,66277265046881492}\times 0,8390996311772799$$

Saate \frac{35,265396141692996}{0,66277265046881492} laiendada, korrutades nii lugeja kui ka nimetaja 100000000000000000.

$$x=\frac{3526539614169299600}{66277265046881492}\times 0,8390996311772799$$

Taandage murd \frac{3526539614169299600}{66277265046881492} vähimale ühiskordsele, eraldades ja taandades arvu 4.

$$x=\frac{881634903542324900}{16569316261720373}\times 0,8390996311772799$$

Teisendage kümnendarv 0,8390996311772799 murdarvuks \frac{8390996311772799}{10000000000}. Taandage murd \frac{8390996311772799}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

Korrutage omavahel \frac{881634903542324900}{16569316261720373} ja \frac{8390996311772799}{10000000000000000}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Tehke korrutustehted murruga \frac{881634903542324900\times 8390996311772799}{16569316261720373\times 10000000000000000}.

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

Taandage murd \frac{7397795223953815640086049040395100}{165693162617203730000000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 100.

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

Määra x

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