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

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

វាយតម្លៃ

$$\frac{4725924400211783702918078443099}{1390752425593986000000000000000}\approx 3.398106171$$

ជំហានចម្លើយ

Evaluate trigonometric functions in the problem

$$0.898794046299167 + 0.898794046299167 / 1.1126019404751888 + 1.6914813873742545$$

ពង្រីក \frac{0.898794046299167}{1.1126019404751888} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 10000000000000000។

$$0.898794046299167+\frac{8987940462991670}{11126019404751888}+1.6914813873742545$$

កាត់បន្ថយប្រភាគ \frac{8987940462991670}{11126019404751888} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 2។

$$0.898794046299167+\frac{4493970231495835}{5563009702375944}+1.6914813873742545$$

បម្លែងចំនួនទសភាគ 0.898794046299167 ទៅជាប្រភាគ \frac{898794046299167}{10000000000}។ កាត់បន្ថយប្រភាគ \frac{898794046299167}{10000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 1។

$$\frac{898794046299167}{1000000000000000}+\frac{4493970231495835}{5563009702375944}+1.6914813873742545$$

ផលគុណរួមតូចបំផុតនៃ 1000000000000000 និង 5563009702375944 គឺ 695376212796993000000000000000។ ប​ម្លែង \frac{898794046299167}{1000000000000000} និង \frac{4493970231495835}{5563009702375944} ទៅជាប្រភាគជាមួយភាគបែង 695376212796993000000000000000។

$$\frac{624999999999999930557516004831}{695376212796993000000000000000}+\frac{561746278936979375000000000000}{695376212796993000000000000000}+1.6914813873742545$$

ដោយសារ \frac{624999999999999930557516004831}{695376212796993000000000000000} និង \frac{561746278936979375000000000000}{695376212796993000000000000000} មានភាគបែងដូចគ្នា សូមបូកពួកវាដោយការបូកភាគយករបស់ពួកវា។

$$\frac{624999999999999930557516004831+561746278936979375000000000000}{695376212796993000000000000000}+1.6914813873742545$$

បូក 624999999999999930557516004831 និង 561746278936979375000000000000 ដើម្បីបាន 1186746278936979305557516004831។

$$\frac{1186746278936979305557516004831}{695376212796993000000000000000}+1.6914813873742545$$

បម្លែងចំនួនទសភាគ 1.6914813873742545 ទៅជាប្រភាគ \frac{3382962774748509}{10000000000}។ កាត់បន្ថយប្រភាគ \frac{3382962774748509}{10000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 1។

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

ផលគុណរួមតូចបំផុតនៃ 695376212796993000000000000000 និង 2000000000000000 គឺ 1390752425593986000000000000000។ ប​ម្លែង \frac{1186746278936979305557516004831}{695376212796993000000000000000} និង \frac{3382962774748509}{2000000000000000} ទៅជាប្រភាគជាមួយភាគបែង 1390752425593986000000000000000។

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

ដោយសារ \frac{2373492557873958611115032009662}{1390752425593986000000000000000} និង \frac{2352431842337825091803046433437}{1390752425593986000000000000000} មានភាគបែងដូចគ្នា សូមបូកពួកវាដោយការបូកភាគយករបស់ពួកវា។

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

បូក 2373492557873958611115032009662 និង 2352431842337825091803046433437 ដើម្បីបាន 4725924400211783702918078443099។

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

ដាក់ជាកត្តា

$$\frac{4725924400211783702918078443099}{3 \cdot 7 \cdot 13 \cdot 19 \cdot 41 \cdot 3269788979 \cdot 2 ^ {16} \cdot 5 ^ {15}} = 3\frac{5.536671234298255 \times 10^{29}}{1.390752425593986 \times 10^{30}} = 3.3981061713362504$$