Issolvi sin^2(pi/3)/cot(frac{pi{3})sin(pi/3)}

$$\frac { \sin ^ { 2 } ( \frac { \pi } { 3 } ) } { \cot ( \frac { \pi } { 3 } ) \sin ( \frac { \pi } { 3 } ) }$$

Evalwa

$$\frac{3}{2}=1.5$$

Passi tas-Soluzzjonijiet

Ikseb il-valur ta’ \sin(\frac{\pi }{3}) mit-tabella tal-valuri trigonometriċi.

$$\frac{\left(\frac{\sqrt{3}}{2}\right)^{2}}{\cot(\frac{\pi }{3})\sin(\frac{\pi }{3})}$$

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

$$\frac{\frac{\left(\sqrt{3}\right)^{2}}{2^{2}}}{\cot(\frac{\pi }{3})\sin(\frac{\pi }{3})}$$

Ikseb il-valur ta’ \cot(\frac{\pi }{3}) mit-tabella tal-valuri trigonometriċi.

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

Ikseb il-valur ta’ \sin(\frac{\pi }{3}) mit-tabella tal-valuri trigonometriċi.

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

Immultiplika \frac{\sqrt{3}}{3} b'\frac{\sqrt{3}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Iddividi \frac{\left(\sqrt{3}\right)^{2}}{2^{2}} b'\frac{\sqrt{3}\sqrt{3}}{3\times 2} billi timmultiplika \frac{\left(\sqrt{3}\right)^{2}}{2^{2}} bir-reċiproku ta' \frac{\sqrt{3}\sqrt{3}}{3\times 2}.

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

Annulla 2\sqrt{3}\sqrt{3} fin-numeratur u d-denominatur.

$$\frac{3}{2}$$

Fattur

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$