sin(225^circ)= eching

$$\sin ( 225 ^ { \circ } ) =$$

Baholash

$$-\frac{\sqrt{2}}{2}\approx -0,707106781$$

Yechim qadamlari

Natijani olish uchun x=180 va y=45 boʻlganda, \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) formulasidan foydalaning.

$$\sin(180+45)=\sin(180)\cos(45)+\sin(45)\cos(180)$$

Trigonometrik qiymatlar jadvaldan \sin(180) qiymatini oling.

$$0\cos(45)+\sin(45)\cos(180)$$

Trigonometrik qiymatlar jadvaldan \cos(45) qiymatini oling.

$$0\times \frac{\sqrt{2}}{2}+\sin(45)\cos(180)$$

Trigonometrik qiymatlar jadvaldan \sin(45) qiymatini oling.

$$0\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(180)$$

Trigonometrik qiymatlar jadvaldan \cos(180) qiymatini oling.

$$0\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\left(-1\right)$$

Hisoblarni amalga oshiring.

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