Issolvi sin(135^circ)=

$$\sin ( 135 ^ { \circ } ) =$$

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=90 u y=45 biex tikseb ir-riżultat.

$$\sin(90+45)=\sin(90)\cos(45)+\sin(45)\cos(90)$$

Ikseb il-valur ta’ \sin(90) mit-tabella tal-valuri trigonometriċi.

$$1\cos(45)+\sin(45)\cos(90)$$

Ikseb il-valur ta’ \cos(45) mit-tabella tal-valuri trigonometriċi.

$$1\times \frac{\sqrt{2}}{2}+\sin(45)\cos(90)$$

Ikseb il-valur ta’ \sin(45) mit-tabella tal-valuri trigonometriċi.

$$1\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(90)$$

Ikseb il-valur ta’ \cos(90) mit-tabella tal-valuri trigonometriċi.

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

Agħmel il-kalkoli.

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