Issolvi tan(4pi/3)

$$\tan ( \frac { 4 \pi } { 3 } )$$

Evalwa

$$\sqrt{3}\approx 1.732050808$$

Passi tas-Soluzzjonijiet

Uża \tan(x+y)=\frac{\tan(x)+\tan(y)}{1-\tan(x)\tan(y)} fejn x=\pi u y=\frac{\pi }{3} biex tikseb ir-riżultat.

$$\tan(\pi +\frac{\pi }{3})=\frac{\tan(\pi )+\tan(\frac{\pi }{3})}{1-\tan(\pi )\tan(\frac{\pi }{3})}$$

Ikseb il-valur ta’ \tan(\pi ) mit-tabella tal-valuri trigonometriċi. Issostitwixxi l-valur kemm fin-numeratur kif ukoll fid-denominatur.

$$\frac{0+\tan(\frac{\pi }{3})}{1-0\tan(\frac{\pi }{3})}$$

Ikseb il-valur ta’ \tan(\frac{\pi }{3}) mit-tabella tal-valuri trigonometriċi. Issostitwixxi l-valur kemm fin-numeratur kif ukoll fid-denominatur.

$$\frac{0+\sqrt{3}}{1-0\sqrt{3}}$$

Agħmel il-kalkoli.

$$\sqrt{3}$$