Issolvi 5/18-5/18*(2*sin^2(15))

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

Evalwa

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

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

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

Esprimi \frac{5}{18}\times 2 bħala frazzjoni waħda.

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

Immultiplika 5 u 2 biex tikseb 10.

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

Naqqas il-frazzjoni \frac{10}{18} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Ikkalkula 0.25881904510252074 bil-power ta' 2 u tikseb 0.0669872981077806650494971021301476.

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

Ikkonverti n-numru deċimali 0.0669872981077806650494971021301476 fi frazzjoni \frac{167468245269451662623742755325369}{10000000000}. Naqqas il-frazzjoni \frac{167468245269451662623742755325369}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

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

Immultiplika \frac{5}{9} b'\frac{167468245269451662623742755325369}{2500000000000000000000000000000000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}.

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

Naqqas il-frazzjoni \frac{837341226347258313118713776626845}{22500000000000000000000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 45.

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

L-inqas multipli komuni ta' 18 u 500000000000000000000000000000000 huwa 4500000000000000000000000000000000. Ikkonverti \frac{5}{18} u \frac{18607582807716851402638083925041}{500000000000000000000000000000000} fi frazzjonijiet bid-denominatur 4500000000000000000000000000000000.

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

Billi \frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} u \frac{167468245269451662623742755325369}{4500000000000000000000000000000000} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Naqqas 167468245269451662623742755325369 minn 1250000000000000000000000000000000 biex tikseb 1082531754730548337376257244674631.

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

Fattur

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