Whakaoti i te sin(30)cos(45)/tan(60)

$$\frac{ \sin ( 30 ) \cos ( 45 ) }{ \tan ( 60 ) }$$

Aromātai

$$\frac{\sqrt{6}}{12}\approx 0.204124145$$

Ngā Upane Otinga

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

$$\frac{\frac{1}{2}\cos(45)}{\tan(60)}$$

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

$$\frac{\frac{1}{2}\times \frac{\sqrt{2}}{2}}{\tan(60)}$$

Me whakarea te \frac{1}{2} ki te \frac{\sqrt{2}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\sqrt{2}}{2\times 2}}{\tan(60)}$$

Tīkina te uara \tan(60) mai i te ripanga uara pākoki.

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

Tuhia te \frac{\frac{\sqrt{2}}{2\times 2}}{\sqrt{3}} hei hautanga kotahi.

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

Whakangāwaritia te tauraro o \frac{\sqrt{2}}{2\times 2\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\sqrt{2}\sqrt{3}}{2\times 2\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

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

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

$$\frac{\sqrt{6}}{2\times 2\times 3}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{\sqrt{6}}{4\times 3}$$

Whakareatia te 4 ki te 3, ka 12.

$$\frac{\sqrt{6}}{12}$$