Issolvi sin(30)cos(45)/tan(60)

$$\frac{ \sin ( 30 ) \cos ( 45 ) }{ \tan ( 60 ) }$$

Evalwa

$$\frac{\sqrt{6}}{12}\approx 0.204124145$$

Passi tas-Soluzzjonijiet

Ikseb il-valur ta’ \sin(30) mit-tabella tal-valuri trigonometriċi.

$$\frac{\frac{1}{2}\cos(45)}{\tan(60)}$$

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

$$\frac{\frac{1}{2}\times \frac{\sqrt{2}}{2}}{\tan(60)}$$

Immultiplika \frac{1}{2} b'\frac{\sqrt{2}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{\sqrt{2}}{2\times 2}}{\tan(60)}$$

Ikseb il-valur ta’ \tan(60) mit-tabella tal-valuri trigonometriċi.

$$\frac{\frac{\sqrt{2}}{2\times 2}}{\sqrt{3}}$$

Esprimi \frac{\frac{\sqrt{2}}{2\times 2}}{\sqrt{3}} bħala frazzjoni waħda.

$$\frac{\sqrt{2}}{2\times 2\sqrt{3}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{2}}{2\times 2\sqrt{3}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{3}.

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

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

$$\frac{\sqrt{2}\sqrt{3}}{2\times 2\times 3}$$

Biex timmultiplika \sqrt{2} u \sqrt{3}, immultiplika n-numri taħt l-għerq kwadrat.

$$\frac{\sqrt{6}}{2\times 2\times 3}$$

Immultiplika 2 u 2 biex tikseb 4.

$$\frac{\sqrt{6}}{4\times 3}$$

Immultiplika 4 u 3 biex tikseb 12.

$$\frac{\sqrt{6}}{12}$$