(sqrt{3}cospi/6+sinpi/6)operatornamectg^2pi/4 eching

$$( \sqrt { 3 } \cos \frac { \pi } { 6 } + \sin \frac { \pi } { 6 } ) \operatorname { ctg } ^ { 2 } \frac { \pi } { 4 }$$

Baholash

$$2$$

Qisqa yechim qadamlari

Trigonometrik qiymatlar jadvaldan \cos(\frac{\pi }{6}) qiymatini oling.

$$\left(\sqrt{3}\times \frac{\sqrt{3}}{2}+\sin(\frac{\pi }{6})\right)\left(\cot(\frac{\pi }{4})\right)^{2}$$

\sqrt{3}\times \frac{\sqrt{3}}{2} ni yagona kasrga aylantiring.

$$\left(\frac{\sqrt{3}\sqrt{3}}{2}+\sin(\frac{\pi }{6})\right)\left(\cot(\frac{\pi }{4})\right)^{2}$$

Trigonometrik qiymatlar jadvaldan \sin(\frac{\pi }{6}) qiymatini oling.

$$\left(\frac{\sqrt{3}\sqrt{3}}{2}+\frac{1}{2}\right)\left(\cot(\frac{\pi }{4})\right)^{2}$$

\frac{\sqrt{3}\sqrt{3}}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\sqrt{3}\sqrt{3}+1}{2}\left(\cot(\frac{\pi }{4})\right)^{2}$$

\sqrt{3}\sqrt{3}+1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3+1}{2}\left(\cot(\frac{\pi }{4})\right)^{2}$$

3+1 hisob-kitobini qiling.

$$\frac{4}{2}\left(\cot(\frac{\pi }{4})\right)^{2}$$

Trigonometrik qiymatlar jadvaldan \cot(\frac{\pi }{4}) qiymatini oling.

$$\frac{4}{2}\times 1^{2}$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{4}{2}\times 1$$

\frac{4}{2}\times 1 ni yagona kasrga aylantiring.

$$\frac{4}{2}$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$2$$

Omil

$$2$$