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

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

Enrhifo

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

Camau Ateb

Cael gwerth \sin(\frac{\pi }{3}) o’r tabl gwerthoedd trigonometrig.

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

I godi \frac{\sqrt{3}}{2} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

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

Cael gwerth \cot(\frac{\pi }{3}) o’r tabl gwerthoedd trigonometrig.

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

Cael gwerth \sin(\frac{\pi }{3}) o’r tabl gwerthoedd trigonometrig.

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

Lluoswch \frac{\sqrt{3}}{3} â \frac{\sqrt{3}}{2} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

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

Rhannwch \frac{\left(\sqrt{3}\right)^{2}}{2^{2}} â \frac{\sqrt{3}\sqrt{3}}{3\times 2} drwy luosi \frac{\left(\sqrt{3}\right)^{2}}{2^{2}} â chilydd \frac{\sqrt{3}\sqrt{3}}{3\times 2}.

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

Canslo 2\sqrt{3}\sqrt{3} yn y rhifiadur a'r enwadur.

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

Ffactor

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