Whakaoti i te sin45^circ+3tan30^circ+tan60^circ-2cos60^circ

$$\sin 45 ^ { \circ } + 3 \tan 30 ^ { \circ } + \tan 60 ^ { \circ } - 2 \cos 60 ^ { \circ }$$

Aromātai

$$\frac{\sqrt{2}}{2}+2\sqrt{3}-1\approx 3.171208396$$

Ngā Hipanga Rongoā Poto

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

$$\frac{\sqrt{2}}{2}+3\tan(30)+\tan(60)-2\cos(60)$$

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

$$\frac{\sqrt{2}}{2}+3\times \frac{\sqrt{3}}{3}+\tan(60)-2\cos(60)$$

Me whakakore te 3 me te 3.

$$\frac{\sqrt{2}}{2}+\sqrt{3}+\tan(60)-2\cos(60)$$

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

$$\frac{\sqrt{2}}{2}+\sqrt{3}+\sqrt{3}-2\cos(60)$$

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

$$\frac{\sqrt{2}}{2}+2\sqrt{3}-2\cos(60)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 2\sqrt{3} ki te \frac{2}{2}.

$$\frac{\sqrt{2}}{2}+\frac{2\times 2\sqrt{3}}{2}-2\cos(60)$$

Tā te mea he rite te tauraro o \frac{\sqrt{2}}{2} me \frac{2\times 2\sqrt{3}}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\sqrt{2}+2\times 2\sqrt{3}}{2}-2\cos(60)$$

Mahia ngā whakarea i roto o \sqrt{2}+2\times 2\sqrt{3}.

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-2\cos(60)$$

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

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-2\times \frac{1}{2}$$

Whakareatia te 2 ki te \frac{1}{2}, ka 1.

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-1$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{2}{2}.

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-\frac{2}{2}$$

Tā te mea he rite te tauraro o \frac{\sqrt{2}+4\sqrt{3}}{2} me \frac{2}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\sqrt{2}+4\sqrt{3}-2}{2}$$