(sinpi/6+cospi/3)^2+(sinpi/3+cospi/6)^2 eching

$$( \sin \frac { \pi } { 6 } + \cos \frac { \pi } { 3 } ) ^ { 2 } + ( \sin \frac { \pi } { 3 } + \cos \frac { \pi } { 6 } ) ^ { 2 }$$

Baholash

$$4$$

Yechim qadamlari

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

$$\left(\frac{1}{2}+\cos(\frac{\pi }{3})\right)^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Trigonometrik qiymatlar jadvaldan \cos(\frac{\pi }{3}) qiymatini oling.

$$\left(\frac{1}{2}+\frac{1}{2}\right)^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

1 olish uchun \frac{1}{2} va \frac{1}{2}'ni qo'shing.

$$1^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

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

$$1+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Trigonometrik qiymatlar jadvaldan \sin(\frac{\pi }{3}) qiymatini oling.

$$1+\left(\frac{\sqrt{3}}{2}+\cos(\frac{\pi }{6})\right)^{2}$$

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

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

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

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

\sqrt{3} kvadrati – 3.

$$1+3$$

4 olish uchun 1 va 3'ni qo'shing.

$$4$$

Omil

$$2^{2}$$