Ratkaise sin(64)+cos(26)divsec(26)+cosh(64)

$$\sin ( 64 ) + \cos ( 26 ) \div \sec ( 26 ) + \cosh ( 64 )$$

Laske

$$\frac{4725924400211783702918078443099}{1390752425593986000000000000000}\approx 3,398106171$$

Ratkaisun vaiheet

Evaluate trigonometric functions in the problem

$$0,898794046299167 + 0,898794046299167 / 1,1126019404751888 + 1,6914813873742545$$

Lavenna \frac{0,898794046299167}{1,1126019404751888} kertomalla sekä osoittaja että nimittäjä luvulla 10000000000000000.

$$0,898794046299167+\frac{8987940462991670}{11126019404751888}+1,6914813873742545$$

Supista murtoluku \frac{8987940462991670}{11126019404751888} luvulla 2.

$$0,898794046299167+\frac{4493970231495835}{5563009702375944}+1,6914813873742545$$

Muunna desimaaliluku 0,898794046299167 murtoluvuksi \frac{898794046299167}{10000000000}. Supista murtoluku \frac{898794046299167}{10000000000} luvulla 1.

$$\frac{898794046299167}{1000000000000000}+\frac{4493970231495835}{5563009702375944}+1,6914813873742545$$

Lukujen 1000000000000000 ja 5563009702375944 pienin yhteinen jaettava on 695376212796993000000000000000. Muunna \frac{898794046299167}{1000000000000000} ja \frac{4493970231495835}{5563009702375944} murtoluvuiksi, joiden nimittäjä on 695376212796993000000000000000.

$$\frac{624999999999999930557516004831}{695376212796993000000000000000}+\frac{561746278936979375000000000000}{695376212796993000000000000000}+1,6914813873742545$$

Koska arvoilla \frac{624999999999999930557516004831}{695376212796993000000000000000} ja \frac{561746278936979375000000000000}{695376212796993000000000000000} on sama nimittäjä, laske ne yhteen laskemalla niiden osoittajat yhteen.

$$\frac{624999999999999930557516004831+561746278936979375000000000000}{695376212796993000000000000000}+1,6914813873742545$$

Selvitä 1186746278936979305557516004831 laskemalla yhteen 624999999999999930557516004831 ja 561746278936979375000000000000.

$$\frac{1186746278936979305557516004831}{695376212796993000000000000000}+1,6914813873742545$$

Muunna desimaaliluku 1,6914813873742545 murtoluvuksi \frac{3382962774748509}{10000000000}. Supista murtoluku \frac{3382962774748509}{10000000000} luvulla 1.

$$\frac{1186746278936979305557516004831}{695376212796993000000000000000}+\frac{3382962774748509}{2000000000000000}$$

Lukujen 695376212796993000000000000000 ja 2000000000000000 pienin yhteinen jaettava on 1390752425593986000000000000000. Muunna \frac{1186746278936979305557516004831}{695376212796993000000000000000} ja \frac{3382962774748509}{2000000000000000} murtoluvuiksi, joiden nimittäjä on 1390752425593986000000000000000.

$$\frac{2373492557873958611115032009662}{1390752425593986000000000000000}+\frac{2352431842337825091803046433437}{1390752425593986000000000000000}$$

Koska arvoilla \frac{2373492557873958611115032009662}{1390752425593986000000000000000} ja \frac{2352431842337825091803046433437}{1390752425593986000000000000000} on sama nimittäjä, laske ne yhteen laskemalla niiden osoittajat yhteen.

$$\frac{2373492557873958611115032009662+2352431842337825091803046433437}{1390752425593986000000000000000}$$

Selvitä 4725924400211783702918078443099 laskemalla yhteen 2373492557873958611115032009662 ja 2352431842337825091803046433437.

$$\frac{4725924400211783702918078443099}{1390752425593986000000000000000}$$

Jaa tekijöihin

$$\frac{4725924400211783702918078443099}{3 \cdot 7 \cdot 13 \cdot 19 \cdot 41 \cdot 3269788979 \cdot 2 ^ {16} \cdot 5 ^ {15}} = 3\frac{5,536671234298255 \times 10^{29}}{1,390752425593986 \times 10^{30}} = 3,3981061713362504$$