Issolvi 3tan^{2}30^circ+4tan45^circ+cos30^circoperatorname{ctg}30^circ

$$3 \tan ^ { 2 } 30 ^ { \circ } + 4 \tan 45 ^ { \circ } + \cos 30 ^ { \circ } \operatorname { ctg } 30 ^ { \circ }$$

Evalwa

$$\frac{13}{2}=6.5$$

Passi Qosra tas-Soluzzjonijiet

Get the value of \tan(30) from trigonometric values table.

$$3\times \left(\frac{\sqrt{3}}{3}\right)^{2}+4\tan(45)+\cos(30)\cot(30)$$

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

$$3\times \frac{\left(\sqrt{3}\right)^{2}}{3^{2}}+4\tan(45)+\cos(30)\cot(30)$$

Esprimi 3\times \frac{\left(\sqrt{3}\right)^{2}}{3^{2}} bħala frazzjoni waħda.

$$\frac{3\left(\sqrt{3}\right)^{2}}{3^{2}}+4\tan(45)+\cos(30)\cot(30)$$

Annulla 3 fin-numeratur u d-denominatur.

$$\frac{\left(\sqrt{3}\right)^{2}}{3}+4\tan(45)+\cos(30)\cot(30)$$

Get the value of \tan(45) from trigonometric values table.

$$\frac{\left(\sqrt{3}\right)^{2}}{3}+4\times 1+\cos(30)\cot(30)$$

Immultiplika 4 u 1 biex tikseb 4.

$$\frac{\left(\sqrt{3}\right)^{2}}{3}+4+\cos(30)\cot(30)$$

Get the value of \cos(30) from trigonometric values table.

$$\frac{\left(\sqrt{3}\right)^{2}}{3}+4+\frac{\sqrt{3}}{2}\cot(30)$$

Get the value of \cot(30) from trigonometric values table.

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

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

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 4 b'\frac{3}{3}.

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

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

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' 3 u 2 huwa 6. Immultiplika \frac{\left(\sqrt{3}\right)^{2}}{3} b'\frac{2}{2}. Immultiplika \frac{\sqrt{3}\sqrt{3}}{2} b'\frac{3}{3}.

$$\frac{2\left(\sqrt{3}\right)^{2}}{6}+4+\frac{3\sqrt{3}\sqrt{3}}{6}$$

Billi \frac{2\left(\sqrt{3}\right)^{2}}{6} u \frac{3\sqrt{3}\sqrt{3}}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{2\left(\sqrt{3}\right)^{2}+3\sqrt{3}\sqrt{3}}{6}+4$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 4 b'\frac{2}{2}.

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

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

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

Agħmel il-multiplikazzjonijiet fi 4\times 2+\sqrt{3}\sqrt{3}.

$$\frac{\left(\sqrt{3}\right)^{2}}{3}+\frac{8+3}{2}$$

Agħmel il-kalkoli fi 8+3.

$$\frac{\left(\sqrt{3}\right)^{2}}{3}+\frac{11}{2}$$

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

$$\frac{3}{3}+\frac{11}{2}$$

Iddividi 3 b'3 biex tikseb1.

$$1+\frac{11}{2}$$

Żid 1 u \frac{11}{2} biex tikseb \frac{13}{2}.

$$\frac{13}{2}$$