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

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

Ovrednoti

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

Koraki rešitve

Evaluate trigonometric functions in the problem

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

Razširite \frac{-0,5150380749100542}{0,8571673007021123} tako, da pomnožite števec in imenovalec s številom 10000000000000000.

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

Ulomek \frac{-5150380749100542}{8571673007021123} je mogoče drugače zapisati kot -\frac{5150380749100542}{8571673007021123} z ekstrahiranjem negativnega znaka.

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

Pretvorite decimalno število 0,6008606190275604 v ulomek \frac{1502151547568901}{10000000000}. Zmanjšajte ulomek \frac{1502151547568901}{10000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 1.

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

Najmanjši skupni mnogokratnik 8571673007021123 in 2500000000000000 je 21429182517552807500000000000000. Pretvorite -\frac{5150380749100542}{8571673007021123} in \frac{1502151547568901}{2500000000000000} v ulomke z imenovalcem 21429182517552807500000000000000.

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

-\frac{12875951872751355000000000000000}{21429182517552807500000000000000} in \frac{12875951872751355121494604895823}{21429182517552807500000000000000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

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

Seštejte -12875951872751355000000000000000 in 12875951872751355121494604895823, da dobite 121494604895823.

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

Faktoriziraj

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