Riješi sin(-31^circ)/cos391^circ+tan211^circ

$$\frac { \sin ( - 31 ^ { \circ } ) } { \cos 391 ^ { \circ } } + \tan 211 ^ { \circ }$$

Izračunaj

$$\frac{121494604895823}{21429182517552807500000000000000}\approx 5,669586546 \cdot 10^{-18}$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{-0,5150380749100542}{0,8571673007021123} + 0,6008606190275604$$

Proširite \frac{-0,5150380749100542}{0,8571673007021123} tako da i brojnik i nazivnik pomnožite sa 10000000000000000.

$$\frac{-5150380749100542}{8571673007021123}+0,6008606190275604$$

Razlomak \frac{-5150380749100542}{8571673007021123} može se napisati kao -\frac{5150380749100542}{8571673007021123} tako da se izluči negativan predznak.

$$-\frac{5150380749100542}{8571673007021123}+0,6008606190275604$$

Pretvorite decimalni broj 0,6008606190275604 u razlomak \frac{1502151547568901}{10000000000}. Skratite razlomak \frac{1502151547568901}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$-\frac{5150380749100542}{8571673007021123}+\frac{1502151547568901}{2500000000000000}$$

Najmanji zajednički višekratnik brojeva 8571673007021123 i 2500000000000000 je 21429182517552807500000000000000. Pretvorite -\frac{5150380749100542}{8571673007021123} i \frac{1502151547568901}{2500000000000000} u razlomak s nazivnikom 21429182517552807500000000000000.

$$-\frac{12875951872751355000000000000000}{21429182517552807500000000000000}+\frac{12875951872751355121494604895823}{21429182517552807500000000000000}$$

Budući da -\frac{12875951872751355000000000000000}{21429182517552807500000000000000} i \frac{12875951872751355121494604895823}{21429182517552807500000000000000} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.

$$\frac{-12875951872751355000000000000000+12875951872751355121494604895823}{21429182517552807500000000000000}$$

Dodajte -12875951872751355000000000000000 broju 12875951872751355121494604895823 da biste dobili 121494604895823.

$$\frac{121494604895823}{21429182517552807500000000000000}$$

Faktor

$$\frac{3 \cdot 4969 \cdot 8150171389}{173 \cdot 249827 \cdot 198326213 \cdot 2 ^ {14} \cdot 5 ^ {16}} = 5,669586546117932 \times 10^{-18}$$