Issolvi sinpi/2/sinfrac{pi{4}}

$$\frac { \sin \frac { \pi } { 2 } } { \sin \frac { \pi } { 4 } }$$

Evalwa

$$\sqrt{2}\approx 1.414213562$$

Passi tas-Soluzzjonijiet

Ikseb il-valur ta’ \sin(\frac{\pi }{2}) mit-tabella tal-valuri trigonometriċi.

$$\frac{1}{\sin(\frac{\pi }{4})}$$

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

$$\frac{1}{\frac{\sqrt{2}}{2}}$$

Iddividi 1 b'\frac{\sqrt{2}}{2} billi timmultiplika 1 bir-reċiproku ta' \frac{\sqrt{2}}{2}.

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

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

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

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

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

Annulla 2 u 2.

$$\sqrt{2}$$