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

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

Baholash

$$-1$$

Yechim qadamlari

Trigonometrik qiymatlar jadvaldan \tan(60) qiymatini oling.

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

Trigonometrik qiymatlar jadvaldan \tan(45) qiymatini oling.

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

Trigonometrik qiymatlar jadvaldan \tan(60) qiymatini oling.

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

Trigonometrik qiymatlar jadvaldan \tan(45) qiymatini oling.

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

\left(2-\sqrt{3}\right)\times \frac{\sqrt{3}+1}{1-\sqrt{3}\times 1} ni yagona kasrga aylantiring.

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

2-\sqrt{3} ga \sqrt{3}+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

\sqrt{3} kvadrati – 3.

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

-1 olish uchun 2 dan 3 ni ayirish.

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

\sqrt{3}-1 mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala -\sqrt{3}+1 ni qisqartiring.

$$-1$$