Riješi (7/17*cos70)-2020

$$( \frac { 7 } { 17 } \times \cos 70 ) - 2020$$

Procijeni

$$-\frac{21461003661872950199}{10625000000000000}\approx -2019,859168176$$

Koraci za rješenje

Evaluate trigonometric functions in the problem

$${(\frac{7}{17} \cdot 0,3420201433256688)} - 2020$$

Konvertirajte decimalni broj 0,3420201433256688 u njegovo racionalno predstavljanje \frac{213762589578543}{10000000000}. Svedite razlomak \frac{213762589578543}{10000000000} na najprostije elemente rastavlјanjem i kraćenjem 1.

$$\frac{7}{17}\times \frac{213762589578543}{625000000000000}-2020$$

Pomnožite \frac{7}{17} i \frac{213762589578543}{625000000000000} tako što ćete pomnožiti brojilac s brojiocem i imenilac s imeniocem.

$$\frac{7\times 213762589578543}{17\times 625000000000000}-2020$$

Izvršite množenja u razlomku \frac{7\times 213762589578543}{17\times 625000000000000}.

$$\frac{1496338127049801}{10625000000000000}-2020$$

Konvertirajte 2020 u razlomak \frac{21462500000000000000}{10625000000000000}.

$$\frac{1496338127049801}{10625000000000000}-\frac{21462500000000000000}{10625000000000000}$$

Pošto \frac{1496338127049801}{10625000000000000} i \frac{21462500000000000000}{10625000000000000} imaju isti imenilac, oduzmite ih tako što ćete oduzeti njihove brojioce.

$$\frac{1496338127049801-21462500000000000000}{10625000000000000}$$

Oduzmite 21462500000000000000 od 1496338127049801 da biste dobili -21461003661872950199.

$$-\frac{21461003661872950199}{10625000000000000}$$

Faktor

$$-\frac{21461003661872950199}{10625000000000000} = -2019\frac{9128661872951296}{10625000000000000} = -2019,8591681762778$$