Lutasin ang 5/18-5/18*(2*sin^2(15))

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

Ipakita ang \frac{5}{18}\times 2 bilang isang single fraction.

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

I-multiply ang 5 at 2 para makuha ang 10.

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

Bawasan ang fraction \frac{10}{18} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

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

Kalkulahin ang 0.25881904510252074 sa power ng 2 at kunin ang 0.0669872981077806650494971021301476.

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

I-convert ang decimal number na 0.0669872981077806650494971021301476 sa fraction na \frac{167468245269451662623742755325369}{10000000000}. Bawasan ang fraction \frac{167468245269451662623742755325369}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

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

I-multiply ang \frac{5}{9} sa \frac{167468245269451662623742755325369}{2500000000000000000000000000000000} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}.

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

Bawasan ang fraction \frac{837341226347258313118713776626845}{22500000000000000000000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 45.

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

Ang least common multiple ng 18 at 500000000000000000000000000000000 ay 4500000000000000000000000000000000. I-convert ang \frac{5}{18} at \frac{18607582807716851402638083925041}{500000000000000000000000000000000} sa mga fraction na may denominator na 4500000000000000000000000000000000.

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

Dahil may parehong denominator ang \frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} at \frac{167468245269451662623742755325369}{4500000000000000000000000000000000}, ibawas ang mga ito sa pamamagitan ng pagbawas sa mga numerator ng mga ito.

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

I-subtract ang 167468245269451662623742755325369 mula sa 1250000000000000000000000000000000 para makuha ang 1082531754730548337376257244674631.

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

I-factor

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