Issolvi 5/cos(45)

$$\frac{ 5 }{ \cos ( 45 ) }$$

Evalwa

$$5\sqrt{2}\approx 7.071067812$$

Passi tas-Soluzzjonijiet

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

$$\frac{5}{\frac{\sqrt{2}}{2}}$$

Iddividi 5 b'\frac{\sqrt{2}}{2} billi timmultiplika 5 bir-reċiproku ta' \frac{\sqrt{2}}{2}.

$$\frac{5\times 2}{\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{5\times 2}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{5\times 2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{5\times 2\sqrt{2}}{2}$$

Immultiplika 5 u 2 biex tikseb 10.

$$\frac{10\sqrt{2}}{2}$$

Iddividi 10\sqrt{2} b'2 biex tikseb5\sqrt{2}.

$$5\sqrt{2}$$