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

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

Arvuta

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

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Saate \frac{-0,5150380749100542}{0,8571673007021123} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

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

Murru \frac{-5150380749100542}{8571673007021123} saab ümber kirjutada kujul -\frac{5150380749100542}{8571673007021123}, kui välja eraldada miinusmärk.

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

Teisendage kümnendarv 0,6008606190275604 murdarvuks \frac{1502151547568901}{10000000000}. Taandage murd \frac{1502151547568901}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

8571673007021123 ja 2500000000000000 vähim ühiskordne on 21429182517552807500000000000000. Teisendage -\frac{5150380749100542}{8571673007021123} ja \frac{1502151547568901}{2500000000000000} murdarvudeks, mille nimetaja on 21429182517552807500000000000000.

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

Kuna murdudel -\frac{12875951872751355000000000000000}{21429182517552807500000000000000} ja \frac{12875951872751355121494604895823}{21429182517552807500000000000000} on sama nimetaja, liitke nende lugejad.

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

Liitke -12875951872751355000000000000000 ja 12875951872751355121494604895823, et leida 121494604895823.

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

Lahuta teguriteks

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