cos(7pi/6) eching

$$\cos ( \frac{ 7 \pi }{ 6 } )$$

Baholash

$$-\frac{\sqrt{3}}{2}\approx -0,866025404$$

Yechim qadamlari

Natijani olish uchun x=\pi va y=\frac{\pi }{6} boʻlganda, \cos(x+y)=\cos(x)\cos(y)-\sin(y)\sin(x) formulasidan foydalaning.

$$\cos(\pi +\frac{\pi }{6})=\cos(\pi )\cos(\frac{\pi }{6})-\sin(\frac{\pi }{6})\sin(\pi )$$

Trigonometrik qiymatlar jadvaldan \cos(\pi ) qiymatini oling.

$$-\cos(\frac{\pi }{6})-\sin(\frac{\pi }{6})\sin(\pi )$$

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

$$-\frac{\sqrt{3}}{2}-\sin(\frac{\pi }{6})\sin(\pi )$$

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

$$-\frac{\sqrt{3}}{2}-\frac{1}{2}\sin(\pi )$$

Trigonometrik qiymatlar jadvaldan \sin(\pi ) qiymatini oling.

$$-\frac{\sqrt{3}}{2}-\frac{1}{2}\times 0$$

Hisoblarni amalga oshiring.

$$-\frac{\sqrt{3}}{2}$$