ដោះស្រាយ 2*1divtan(8^{circ})*1divtan(17^circ)*1divtan(45^circ)*1divtan(73^circ)*1divtan(82^circ)

$$2 \times 1 \div \tan ( 8 ^ { \circ } ) \times 1 \div \tan ( 17 ^ { \circ } ) \times 1 \div \tan ( 45 ^ { \circ } ) \times 1 \div \tan ( 73 ^ { \circ } ) \times 1 \div \tan ( 82 ^ { \circ } )$$

វាយតម្លៃ

$$\frac{50000000000000000000000000000000000000000000000000000000000000}{24999999999999952320918945316322629374650050821000940948202031}\approx 2$$

ជំហានចម្លើយ

Evaluate trigonometric functions in the problem

$$2 \cdot 1 / 0.14054083470239145 \cdot 1 / 0.3057306814586604 \cdot 1 / \tan(45) \cdot 1 / 3.2708526184841404 \cdot 1 / 7.115369722384195$$

គុណ 2 និង 1 ដើម្បីបាន 2។

$$\frac{1\times \frac{1\times \frac{\frac{\frac{2}{0.14054083470239145}\times 1}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

ពង្រីក \frac{2}{0.14054083470239145} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 100000000000000000។

$$\frac{1\times \frac{1\times \frac{\frac{\frac{200000000000000000}{14054083470239145}\times 1}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

កាត់បន្ថយប្រភាគ \frac{200000000000000000}{14054083470239145} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 5។

$$\frac{1\times \frac{1\times \frac{\frac{\frac{40000000000000000}{2810816694047829}\times 1}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

គុណ \frac{40000000000000000}{2810816694047829} និង 1 ដើម្បីបាន \frac{40000000000000000}{2810816694047829}។

$$\frac{1\times \frac{1\times \frac{\frac{\frac{40000000000000000}{2810816694047829}}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

បង្ហាញ \frac{\frac{40000000000000000}{2810816694047829}}{0.3057306814586604} ជាប្រភាគទោល។

$$\frac{1\times \frac{1\times \frac{\frac{40000000000000000}{2810816694047829\times 0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

គុណ 2810816694047829 និង 0.3057306814586604 ដើម្បីបាន 859352903326621.7159602038682716។

$$\frac{1\times \frac{1\times \frac{\frac{40000000000000000}{859352903326621.7159602038682716}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

ពង្រីក \frac{40000000000000000}{859352903326621.7159602038682716} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 10000000000000000។

$$\frac{1\times \frac{1\times \frac{\frac{400000000000000000000000000000000}{8593529033266217159602038682716}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

កាត់បន្ថយប្រភាគ \frac{400000000000000000000000000000000}{8593529033266217159602038682716} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 4។

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

គុណ \frac{100000000000000000000000000000000}{2148382258316554289900509670679} និង 1 ដើម្បីបាន \frac{100000000000000000000000000000000}{2148382258316554289900509670679}។

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

ទទួល​យក​តម្លៃរបស់ \tan(45) ពី​តារាង​តម្លៃ​ត្រីកោណមាត្រសាស្ត្រ។

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{1}}{3.2708526184841404}}{7.115369722384195}$$

អ្វីមួយចែកនឹង​មួយបានខ្លួនឯង។

$$\frac{1\times \frac{1\times \frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3.2708526184841404}}{7.115369722384195}$$

គុណ 1 និង \frac{100000000000000000000000000000000}{2148382258316554289900509670679} ដើម្បីបាន \frac{100000000000000000000000000000000}{2148382258316554289900509670679}។

$$\frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3.2708526184841404}}{7.115369722384195}$$

បង្ហាញ \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3.2708526184841404} ជាប្រភាគទោល។

$$\frac{1\times \frac{100000000000000000000000000000000}{2148382258316554289900509670679\times 3.2708526184841404}}{7.115369722384195}$$

គុណ 2148382258316554289900509670679 និង 3.2708526184841404 ដើម្បីបាន 7027041735119572517754492936408.8736997883993316។

$$\frac{1\times \frac{100000000000000000000000000000000}{7027041735119572517754492936408.8736997883993316}}{7.115369722384195}$$

ពង្រីក \frac{100000000000000000000000000000000}{7027041735119572517754492936408.8736997883993316} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 10000000000000000។

$$\frac{1\times \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316}}{7.115369722384195}$$

កាត់បន្ថយប្រភាគ \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 4។

$$\frac{1\times \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7.115369722384195}$$

គុណ 1 និង \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329} ដើម្បីបាន \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}។

$$\frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7.115369722384195}$$

បង្ហាញ \frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7.115369722384195} ជាប្រភាគទោល។

$$\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329\times 7.115369722384195}$$

គុណ 17567604337798931294386232341022184249470998329 និង 7.115369722384195 ដើម្បីបាន 124999999999999761604594726581613146873250254105.004704741010155។

$$\frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105.004704741010155}$$

ពង្រីក \frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105.004704741010155} ដោយគុណទាំងភាគបែង និងភាគយកជាមួយនឹង 1000000000000000។

$$\frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155}$$

កាត់បន្ថយប្រភាគ \frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 5។

$$\frac{50000000000000000000000000000000000000000000000000000000000000}{24999999999999952320918945316322629374650050821000940948202031}$$