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

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

Meta

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

Lausnarskref

Evaluate trigonometric functions in the problem

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

Sýndu \frac{5}{18}\times 2 sem eitt brot.

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

Margfaldaðu 5 og 2 til að fá út 10.

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

Minnka brotið \frac{10}{18} eins mikið og hægt er með því að draga og stytta út 2.

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

Reiknaðu 0.25881904510252074 í 2. veldi og fáðu 0.0669872981077806650494971021301476.

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

Breyta tugabrotinu 0.0669872981077806650494971021301476 í brot \frac{167468245269451662623742755325369}{10000000000}. Minnka brotið \frac{167468245269451662623742755325369}{10000000000} eins mikið og hægt er með því að draga og stytta út 1.

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

Margfaldaðu \frac{5}{9} sinnum \frac{167468245269451662623742755325369}{2500000000000000000000000000000000} með því að margfalda teljara sinnum teljara og samnefnara sinnum samnefnara.

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

Margfaldaðu í brotinu \frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}.

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

Minnka brotið \frac{837341226347258313118713776626845}{22500000000000000000000000000000000} eins mikið og hægt er með því að draga og stytta út 45.

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

Sjaldgæfasta margfeldi 18 og 500000000000000000000000000000000 er 4500000000000000000000000000000000. Breyttu \frac{5}{18} og \frac{18607582807716851402638083925041}{500000000000000000000000000000000} í brot með nefnaranum 4500000000000000000000000000000000.

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

Þar sem \frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} og \frac{167468245269451662623742755325369}{4500000000000000000000000000000000} eru með sama nefnara skaltu draga frá með því að nota frádrátt á teljarana.

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

Dragðu 167468245269451662623742755325369 frá 1250000000000000000000000000000000 til að fá út 1082531754730548337376257244674631.

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

Stuðull

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