Réitigh (2-sqrt{3})*tan60^circ+tan45^circ/1-tan60^circtan45^circ

$$( 2 - \sqrt { 3 } ) \cdot \frac { \tan 60 ^ { \circ } + \tan 45 ^ { \circ } } { 1 - \tan 60 ^ { \circ } \tan 45 ^ { \circ } }$$

Luacháil

$$-1$$

Céimeanna Réitigh

Faigh luach do\tan(60)ón dtábla luachanna triantánúla.

$$\left(2-\sqrt{3}\right)\times \frac{\sqrt{3}+\tan(45)}{1-\tan(60)\tan(45)}$$

Faigh luach do\tan(45)ón dtábla luachanna triantánúla.

$$\left(2-\sqrt{3}\right)\times \frac{\sqrt{3}+1}{1-\tan(60)\tan(45)}$$

Faigh luach do\tan(60)ón dtábla luachanna triantánúla.

$$\left(2-\sqrt{3}\right)\times \frac{\sqrt{3}+1}{1-\sqrt{3}\tan(45)}$$

Faigh luach do\tan(45)ón dtábla luachanna triantánúla.

$$\left(2-\sqrt{3}\right)\times \frac{\sqrt{3}+1}{1-\sqrt{3}\times 1}$$

Scríobh \left(2-\sqrt{3}\right)\times \frac{\sqrt{3}+1}{1-\sqrt{3}\times 1} mar chodán aonair.

$$\frac{\left(2-\sqrt{3}\right)\left(\sqrt{3}+1\right)}{1-\sqrt{3}\times 1}$$

Úsáid an t-airí dáileach chun 2-\sqrt{3} a mhéadú faoi \sqrt{3}+1 agus chun téarmaí comhchosúla a chumasc.

$$\frac{\sqrt{3}+2-\left(\sqrt{3}\right)^{2}}{1-\sqrt{3}\times 1}$$

Is é 3 uimhir chearnach \sqrt{3}.

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

Dealaigh 3 ó 2 chun -1 a fháil.

$$\frac{\sqrt{3}-1}{1-\sqrt{3}\times 1}$$

Bain an comhartha diúltach in: \sqrt{3}-1.

$$\frac{-\left(-\sqrt{3}+1\right)}{-\sqrt{3}+1}$$

Cealaigh -\sqrt{3}+1 mar uimhreoir agus ainmneoir.

$$-1$$