frac{sqrt{3}}{tan60^circ-cos30^circ}-(27)^frac{1{3}} eching

$$\frac { \sqrt { 3 } } { \tan 60 ^ { \circ } - \cos 30 ^ { \circ } } - ( 27 ) ^ { \frac { 1 } { 3 } }$$

Baholash

$$-1$$

Yechim qadamlari

Trigonometrik qiymatlar jadvaldan \tan(60) qiymatini oling.

$$\frac{\sqrt{3}}{\sqrt{3}-\cos(30)}-27^{\frac{1}{3}}$$

Trigonometrik qiymatlar jadvaldan \cos(30) qiymatini oling.

$$\frac{\sqrt{3}}{\sqrt{3}-\frac{\sqrt{3}}{2}}-27^{\frac{1}{3}}$$

\frac{1}{2}\sqrt{3} ni olish uchun \sqrt{3} va -\frac{\sqrt{3}}{2} ni birlashtirish.

$$\frac{\sqrt{3}}{\frac{1}{2}\sqrt{3}}-27^{\frac{1}{3}}$$

\frac{\sqrt{3}}{\frac{1}{2}\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$\frac{\sqrt{3}\sqrt{3}}{\frac{1}{2}\left(\sqrt{3}\right)^{2}}-27^{\frac{1}{3}}$$

\sqrt{3} kvadrati – 3.

$$\frac{\sqrt{3}\sqrt{3}}{\frac{1}{2}\times 3}-27^{\frac{1}{3}}$$

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

$$\frac{3}{\frac{1}{2}\times 3}-27^{\frac{1}{3}}$$

\frac{3}{2} hosil qilish uchun \frac{1}{2} va 3 ni ko'paytirish.

$$\frac{3}{\frac{3}{2}}-27^{\frac{1}{3}}$$

3 ni \frac{3}{2} ga bo'lish 3 ga k'paytirish \frac{3}{2} ga qaytarish.

$$3\times \frac{2}{3}-27^{\frac{1}{3}}$$

2 hosil qilish uchun 3 va \frac{2}{3} ni ko'paytirish.

$$2-27^{\frac{1}{3}}$$

\frac{1}{3} daraja ko‘rsatkichini 27 ga hisoblang va 3 ni qiymatni oling.

$$2-3$$

-1 olish uchun 2 dan 3 ni ayirish.

$$-1$$