Issolvi sin5pi/4

$$\sin \frac { 5 \pi } { 4 }$$

Evalwa

$$-\frac{\sqrt{2}}{2}\approx -0.707106781$$

Passi tas-Soluzzjonijiet

Uża \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) fejn x=\pi u y=\frac{\pi }{4} biex tikseb ir-riżultat.

$$\sin(\pi +\frac{\pi }{4})=\sin(\pi )\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\pi )$$

Ikseb il-valur ta’ \sin(\pi ) mit-tabella tal-valuri trigonometriċi.

$$0\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\pi )$$

Ikseb il-valur ta’ \cos(\frac{\pi }{4}) mit-tabella tal-valuri trigonometriċi.

$$0\times \frac{\sqrt{2}}{2}+\sin(\frac{\pi }{4})\cos(\pi )$$

Ikseb il-valur ta’ \sin(\frac{\pi }{4}) mit-tabella tal-valuri trigonometriċi.

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

Ikseb il-valur ta’ \cos(\pi ) mit-tabella tal-valuri trigonometriċi.

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

Agħmel il-kalkoli.

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