sin(-5pi/6) eching

$$\sin ( - 5 \frac { \pi } { 6 } )$$

Baholash

$$-\frac{1}{2}=-0,5$$

Yechim qadamlari

-5\times \frac{\pi }{6} ni yagona kasrga aylantiring.

$$\sin(\frac{-5\pi }{6})$$

Natijani olish uchun x=\frac{\pi }{2} va y=\frac{\pi }{3} boʻlganda, \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) formulasidan foydalaning.

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

Trigonometrik qiymatlar jadvaldan \sin(\frac{\pi }{2}) qiymatini oling.

$$1\cos(\frac{\pi }{3})+\sin(\frac{\pi }{3})\cos(\frac{\pi }{2})$$

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

$$1\times \frac{1}{2}+\sin(\frac{\pi }{3})\cos(\frac{\pi }{2})$$

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

$$1\times \frac{1}{2}+\frac{\sqrt{3}}{2}\cos(\frac{\pi }{2})$$

Trigonometrik qiymatlar jadvaldan \cos(\frac{\pi }{2}) qiymatini oling.

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

Hisoblarni amalga oshiring.

$$\frac{1}{2}$$

Omil

$$-\frac{1}{2} = -0,5$$