Whakaoti i te 5/18-5/18*(2*sin^2(15))

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

Aromātai

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

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

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

Tuhia te \frac{5}{18}\times 2 hei hautanga kotahi.

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

Whakareatia te 5 ki te 2, ka 10.

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

Whakahekea te hautanga \frac{10}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Tātaihia te 0.25881904510252074 mā te pū o 2, kia riro ko 0.0669872981077806650494971021301476.

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

Me tahuri ki tau ā-ira 0.0669872981077806650494971021301476 ki te hautau \frac{167468245269451662623742755325369}{10000000000}. Whakahekea te hautanga \frac{167468245269451662623742755325369}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

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

Me whakarea te \frac{5}{9} ki te \frac{167468245269451662623742755325369}{2500000000000000000000000000000000} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{5\times 167468245269451662623742755325369}{9\times 2500000000000000000000000000000000}.

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

Whakahekea te hautanga \frac{837341226347258313118713776626845}{22500000000000000000000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 45.

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

Ko te maha noa iti rawa atu o 18 me 500000000000000000000000000000000 ko 4500000000000000000000000000000000. Me tahuri \frac{5}{18} me \frac{18607582807716851402638083925041}{500000000000000000000000000000000} ki te hautau me te tautūnga 4500000000000000000000000000000000.

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

Tā te mea he rite te tauraro o \frac{1250000000000000000000000000000000}{4500000000000000000000000000000000} me \frac{167468245269451662623742755325369}{4500000000000000000000000000000000}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 167468245269451662623742755325369 i te 1250000000000000000000000000000000, ka 1082531754730548337376257244674631.

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

Tauwehe

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