ដោះស្រាយ -4.6divtan(42^circ)-tan(46^circ)

$$-4.6 \div \tan ( 42 ^ { \circ } ) - \tan ( 46 ^ { \circ } )$$

វាយតម្លៃ

$$-\frac{276619784126501995096450270551953}{45020202214891995000000000000000}\approx -6.144347882$$

ជំហានចម្លើយ

Evaluate trigonometric functions in the problem

$$-4.6 / 0.9004040442978399 - 1.0355303137905694$$

ពង្រីក \frac{-4.6}{0.9004040442978399} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 10000000000000000។

$$\frac{-46000000000000000}{9004040442978399}-1.0355303137905694$$

ប្រភាគ\frac{-46000000000000000}{9004040442978399} អាចសរសេរជា -\frac{46000000000000000}{9004040442978399} ដោយការស្រងចេញសញ្ញាអវិជ្ជមាន។

$$-\frac{46000000000000000}{9004040442978399}-1.0355303137905694$$

បម្លែងចំនួនទសភាគ 1.0355303137905694 ទៅជាប្រភាគ \frac{5177651568952847}{10000000000}។ កាត់បន្ថយប្រភាគ \frac{5177651568952847}{10000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 1។

$$-\frac{46000000000000000}{9004040442978399}-\frac{5177651568952847}{5000000000000000}$$

ផលគុណរួមតូចបំផុតនៃ 9004040442978399 និង 5000000000000000 គឺ 45020202214891995000000000000000។ ប​ម្លែង -\frac{46000000000000000}{9004040442978399} និង \frac{5177651568952847}{5000000000000000} ទៅជាប្រភាគជាមួយភាគបែង 45020202214891995000000000000000។

$$-\frac{230000000000000000000000000000000}{45020202214891995000000000000000}-\frac{46619784126501995096450270551953}{45020202214891995000000000000000}$$

ដោយសារ -\frac{230000000000000000000000000000000}{45020202214891995000000000000000} និង \frac{46619784126501995096450270551953}{45020202214891995000000000000000} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

$$\frac{-230000000000000000000000000000000-46619784126501995096450270551953}{45020202214891995000000000000000}$$

ដក​ 46619784126501995096450270551953 ពី -230000000000000000000000000000000 ដើម្បីបាន -276619784126501995096450270551953។

$$-\frac{276619784126501995096450270551953}{45020202214891995000000000000000}$$

ដាក់ជាកត្តា

$$-\frac{276619784126501995096450270551953}{45020202214891995000000000000000} = -6\frac{6.498570837150046 \times 10^{30}}{4.502020221489199 \times 10^{31}} = -6.144347882004857$$