Riješi 5/18-5/18*(2*sin^2(15))

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

Izračunaj

$$\frac{1082531754730548337376257244674631}{4500000000000000000000000000000000}\approx 0,240562612$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{5}{18} - \frac{5}{18} \cdot {(2 \cdot 0,25881904510252074 ^ {2})}$$

Izrazite \frac{5}{18}\times 2 kao jedan razlomak.

$$\frac{5}{18}-\frac{5\times 2}{18}\times 0,25881904510252074^{2}$$

Pomnožite 5 i 2 da biste dobili 10.

$$\frac{5}{18}-\frac{10}{18}\times 0,25881904510252074^{2}$$

Skratite razlomak \frac{10}{18} na najmanje vrijednosti tako da izlučite i poništite 2.

$$\frac{5}{18}-\frac{5}{9}\times 0,25881904510252074^{2}$$

Izračunajte koliko je 2 na 0,25881904510252074 da biste dobili 0,0669872981077806650494971021301476.

$$\frac{5}{18}-\frac{5}{9}\times 0,0669872981077806650494971021301476$$

Pretvorite decimalni broj 0,0669872981077806650494971021301476 u razlomak \frac{167468245269451662623742755325369}{10000000000}. Skratite razlomak \frac{167468245269451662623742755325369}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

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

Pomnožite \frac{5}{9} i \frac{167468245269451662623742755325369}{2500000000000000000000000000000000} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

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

Izvedite množenje u razlomku \frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}.

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

Skratite razlomak \frac{837341226347258313118713776626845}{22500000000000000000000000000000000} na najmanje vrijednosti tako da izlučite i poništite 45.

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

Najmanji zajednički višekratnik brojeva 18 i 500000000000000000000000000000000 je 4500000000000000000000000000000000. Pretvorite \frac{5}{18} i \frac{18607582807716851402638083925041}{500000000000000000000000000000000} u razlomak s nazivnikom 4500000000000000000000000000000000.

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

Budući da \frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} i \frac{167468245269451662623742755325369}{4500000000000000000000000000000000} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

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

Oduzmite 167468245269451662623742755325369 od 1250000000000000000000000000000000 da biste dobili 1082531754730548337376257244674631.

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

Faktor

$$\frac{41 \cdot 311 \cdot 10529 \cdot 164555799630190734056761 \cdot 7 ^ {2}}{2 ^ {32} \cdot 3 ^ {2} \cdot 5 ^ {33}} = 0,24056261216234404$$