Issolvi sin(30)cos(45)+left(sin(60)right)^2+left(cos(60)right)^2

$$\sin ( 30 ) \cos ( 45 ) + { \left( \sin ( 60 ) \right) }^{ 2 } + { \left( \cos ( 60 ) \right) }^{ 2 }$$

Evalwa

$$\frac{\sqrt{2}}{4}+1\approx 1.353553391$$

Passi Qosra tas-Soluzzjonijiet

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

$$\frac{1}{2}\cos(45)+\left(\sin(60)\right)^{2}+\left(\cos(60)\right)^{2}$$

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

$$\frac{1}{2}\times \frac{\sqrt{2}}{2}+\left(\sin(60)\right)^{2}+\left(\cos(60)\right)^{2}$$

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

$$\frac{\sqrt{2}}{2\times 2}+\left(\sin(60)\right)^{2}+\left(\cos(60)\right)^{2}$$

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

$$\frac{\sqrt{2}}{2\times 2}+\left(\frac{\sqrt{3}}{2}\right)^{2}+\left(\cos(60)\right)^{2}$$

Biex tgħolli \frac{\sqrt{3}}{2} għal qawwa, għolli kemm in-numeratur u d-denominatur għall-qawwa u mbagħad iddividi.

$$\frac{\sqrt{2}}{2\times 2}+\frac{\left(\sqrt{3}\right)^{2}}{2^{2}}+\left(\cos(60)\right)^{2}$$

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

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

Ikkalkula \frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

$$\frac{\sqrt{2}}{2\times 2}+\frac{\left(\sqrt{3}\right)^{2}}{2^{2}}+\frac{1}{4}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Espandi 2\times 2.

$$\frac{\sqrt{2}}{4}+\frac{\left(\sqrt{3}\right)^{2}}{4}+\frac{1}{4}$$

Billi \frac{\sqrt{2}}{4} u \frac{\left(\sqrt{3}\right)^{2}}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\sqrt{2}+\left(\sqrt{3}\right)^{2}}{4}+\frac{1}{4}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Espandi 2\times 2.

$$\frac{\sqrt{2}}{4}+\frac{\left(\sqrt{3}\right)^{2}}{2^{2}}+\frac{1}{4}$$

Billi \frac{\sqrt{2}}{4} u \frac{1}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\sqrt{2}+1}{4}+\frac{\left(\sqrt{3}\right)^{2}}{2^{2}}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Espandi 2^{2}.

$$\frac{\sqrt{2}+1}{4}+\frac{\left(\sqrt{3}\right)^{2}}{4}$$

Billi \frac{\sqrt{2}+1}{4} u \frac{\left(\sqrt{3}\right)^{2}}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\sqrt{2}+1+\left(\sqrt{3}\right)^{2}}{4}$$

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

$$\frac{\sqrt{2}+1}{4}+\frac{3}{2^{2}}$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$\frac{\sqrt{2}+1}{4}+\frac{3}{4}$$

Billi \frac{\sqrt{2}+1}{4} u \frac{3}{4} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{\sqrt{2}+1+3}{4}$$

Agħmel il-kalkoli fi \sqrt{2}+1+3.

$$\frac{\sqrt{2}+4}{4}$$