ដោះស្រាយ 5/18-5/18*(2*sin^2(15))

$$\frac { 5 } { 18 } - \frac { 5 } { 18 } \times ( 2 \times \sin ^ { 2 } ( 15 ) )$$

វាយតម្លៃ

$$\frac{1082531754730548337376257244674631}{4500000000000000000000000000000000}\approx 0.240562612$$

ជំហានចម្លើយ

Evaluate trigonometric functions in the problem

$$\frac{5}{18} - \frac{5}{18} \cdot {(2 \cdot 0.25881904510252074 ^ {2})}$$

បង្ហាញ \frac{5}{18}\times 2 ជាប្រភាគទោល។

$$\frac{5}{18}-\frac{5\times 2}{18}\times 0.25881904510252074^{2}$$

គុណ 5 និង 2 ដើម្បីបាន 10។

$$\frac{5}{18}-\frac{10}{18}\times 0.25881904510252074^{2}$$

កាត់បន្ថយប្រភាគ \frac{10}{18} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 2។

$$\frac{5}{18}-\frac{5}{9}\times 0.25881904510252074^{2}$$

គណនាស្វ័យគុណ 0.25881904510252074 នៃ 2 ហើយបាន 0.0669872981077806650494971021301476។

$$\frac{5}{18}-\frac{5}{9}\times 0.0669872981077806650494971021301476$$

បម្លែងចំនួនទសភាគ 0.0669872981077806650494971021301476 ទៅជាប្រភាគ \frac{167468245269451662623742755325369}{10000000000}។ កាត់បន្ថយប្រភាគ \frac{167468245269451662623742755325369}{10000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 1។

$$\frac{5}{18}-\frac{5}{9}\times \frac{167468245269451662623742755325369}{2500000000000000000000000000000000}$$

គុណ \frac{5}{9} ដង \frac{167468245269451662623742755325369}{2500000000000000000000000000000000} ដោយការគុណភាគយក​ចំនួនដងនៃភាគយក និងភាគបែងចំនួនដងនៃភាគបែង។

$$\frac{5}{18}-\frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}$$

ធ្វើផល​គុណនៅក្នុងប្រភាគ \frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}។

$$\frac{5}{18}-\frac{837341226347258313118713776626845}{22500000000000000000000000000000000}$$

កាត់បន្ថយប្រភាគ \frac{837341226347258313118713776626845}{22500000000000000000000000000000000} ទៅតួដែលតូចបំផុតដោយ​ដក និងលុបចេញ 45។

$$\frac{5}{18}-\frac{18607582807716851402638083925041}{500000000000000000000000000000000}$$

ផលគុណរួមតូចបំផុតនៃ 18 និង 500000000000000000000000000000000 គឺ 4500000000000000000000000000000000។ ប​ម្លែង \frac{5}{18} និង \frac{18607582807716851402638083925041}{500000000000000000000000000000000} ទៅជាប្រភាគជាមួយភាគបែង 4500000000000000000000000000000000។

$$\frac{1250000000000000000000000000000000}{4500000000000000000000000000000000}-\frac{167468245269451662623742755325369}{4500000000000000000000000000000000}$$

ដោយសារ \frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} និង \frac{167468245269451662623742755325369}{4500000000000000000000000000000000} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

$$\frac{1250000000000000000000000000000000-167468245269451662623742755325369}{4500000000000000000000000000000000}$$

ដក​ 167468245269451662623742755325369 ពី 1250000000000000000000000000000000 ដើម្បីបាន 1082531754730548337376257244674631។

$$\frac{1082531754730548337376257244674631}{4500000000000000000000000000000000}$$

ដាក់ជាកត្តា

$$\frac{41 \cdot 311 \cdot 10529 \cdot 164555799630190734056761 \cdot 7 ^ {2}}{2 ^ {32} \cdot 3 ^ {2} \cdot 5 ^ {33}} = 0.24056261216234404$$