Whakaoti i te sin(45^circ)*cos(30^circ)+cos(30^circ)*sin(45^circ)

$$\sin ( 45 ^ { \circ } ) \times \cos ( 30 ^ { \circ } ) + \cos ( 30 ^ { \circ } ) \times \sin ( 45 ^ { \circ } )$$

Aromātai

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Ngā Upane Otinga

Tīkina te uara \sin(45) mai i te ripanga uara pākoki.

$$\frac{\sqrt{2}}{2}\cos(30)+\cos(30)\sin(45)$$

Tīkina te uara \cos(30) mai i te ripanga uara pākoki.

$$\frac{\sqrt{2}}{2}\times \frac{\sqrt{3}}{2}+\cos(30)\sin(45)$$

Me whakarea te \frac{\sqrt{2}}{2} ki te \frac{\sqrt{3}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\sqrt{2}\sqrt{3}}{2\times 2}+\cos(30)\sin(45)$$

Tīkina te uara \cos(30) mai i te ripanga uara pākoki.

$$\frac{\sqrt{2}\sqrt{3}}{2\times 2}+\frac{\sqrt{3}}{2}\sin(45)$$

Tīkina te uara \sin(45) mai i te ripanga uara pākoki.

$$\frac{\sqrt{2}\sqrt{3}}{2\times 2}+\frac{\sqrt{3}}{2}\times \frac{\sqrt{2}}{2}$$

Me whakarea te \frac{\sqrt{3}}{2} ki te \frac{\sqrt{2}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\sqrt{2}\sqrt{3}}{2\times 2}+\frac{\sqrt{3}\sqrt{2}}{2\times 2}$$

Pahekotia te \frac{\sqrt{2}\sqrt{3}}{2\times 2} me \frac{\sqrt{3}\sqrt{2}}{2\times 2}, ka 2\times \frac{\sqrt{2}\sqrt{3}}{2\times 2}.

$$2\times \frac{\sqrt{2}\sqrt{3}}{2\times 2}$$

Hei whakarea \sqrt{2} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$2\times \frac{\sqrt{6}}{2\times 2}$$

Whakareatia te 2 ki te 2, ka 4.

$$2\times \frac{\sqrt{6}}{4}$$

Whakakorea atu te tauwehe pūnoa nui rawa 4 i roto i te 2 me te 4.

$$\frac{\sqrt{6}}{2}$$