Issolvi (sinpi/6+cospi/3)^2+(sinpi/3+cospi/6)^2

$$( \sin \frac { \pi } { 6 } + \cos \frac { \pi } { 3 } ) ^ { 2 } + ( \sin \frac { \pi } { 3 } + \cos \frac { \pi } { 6 } ) ^ { 2 }$$

Evalwa

$$4$$

Passi tas-Soluzzjonijiet

Ikseb il-valur ta’ \sin(\frac{\pi }{6}) mit-tabella tal-valuri trigonometriċi.

$$\left(\frac{1}{2}+\cos(\frac{\pi }{3})\right)^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Ikseb il-valur ta’ \cos(\frac{\pi }{3}) mit-tabella tal-valuri trigonometriċi.

$$\left(\frac{1}{2}+\frac{1}{2}\right)^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Żid \frac{1}{2} u \frac{1}{2} biex tikseb 1.

$$1^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Ikkalkula 1 bil-power ta' 2 u tikseb 1.

$$1+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Ikseb il-valur ta’ \sin(\frac{\pi }{3}) mit-tabella tal-valuri trigonometriċi.

$$1+\left(\frac{\sqrt{3}}{2}+\cos(\frac{\pi }{6})\right)^{2}$$

Ikseb il-valur ta’ \cos(\frac{\pi }{6}) mit-tabella tal-valuri trigonometriċi.

$$1+\left(\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}\right)^{2}$$

Ikkombina \frac{\sqrt{3}}{2} u \frac{\sqrt{3}}{2} biex tikseb \sqrt{3}.

$$1+\left(\sqrt{3}\right)^{2}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$1+3$$

Żid 1 u 3 biex tikseb 4.

$$4$$

Fattur

$$2^{2}$$