Datrys frac{1-sin^{2}45^{circ}}{1+sin^245^circ}+tan^245^circ

$$\frac { 1 - \sin ^ { 2 } 45 ^ { \circ } } { 1 + \sin ^ { 2 } 45 ^ { \circ } } + \tan ^ { 2 } 45 ^ { \circ }$$

Enrhifo

$$\frac{4}{3}\approx 1.333333333$$

Camau Ateb

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

$$\frac{1-\left(\frac{\sqrt{2}}{2}\right)^{2}}{1+\left(\sin(45)\right)^{2}}+\left(\tan(45)\right)^{2}$$

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

$$\frac{1-\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}}{1+\left(\sin(45)\right)^{2}}+\left(\tan(45)\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{1-\frac{2}{2^{2}}}{1+\left(\sin(45)\right)^{2}}+\left(\tan(45)\right)^{2}$$

Cyfrifo 2 i bŵer 2 a chael 4.

$$\frac{1-\frac{2}{4}}{1+\left(\sin(45)\right)^{2}}+\left(\tan(45)\right)^{2}$$

Lleihau'r ffracsiwn \frac{2}{4} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\frac{1-\frac{1}{2}}{1+\left(\sin(45)\right)^{2}}+\left(\tan(45)\right)^{2}$$

Tynnu \frac{1}{2} o 1 i gael \frac{1}{2}.

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

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

$$\frac{\frac{1}{2}}{1+\left(\frac{\sqrt{2}}{2}\right)^{2}}+\left(\tan(45)\right)^{2}$$

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

$$\frac{\frac{1}{2}}{1+\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}}+\left(\tan(45)\right)^{2}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch 1 â \frac{2^{2}}{2^{2}}.

$$\frac{\frac{1}{2}}{\frac{2^{2}}{2^{2}}+\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}}+\left(\tan(45)\right)^{2}$$

Gan fod gan \frac{2^{2}}{2^{2}} a \frac{\left(\sqrt{2}\right)^{2}}{2^{2}} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{\frac{1}{2}}{\frac{2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}}+\left(\tan(45)\right)^{2}$$

Rhannwch \frac{1}{2} â \frac{2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}} drwy luosi \frac{1}{2} â chilydd \frac{2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}.

$$\frac{2^{2}}{2\left(2^{2}+\left(\sqrt{2}\right)^{2}\right)}+\left(\tan(45)\right)^{2}$$

Canslo 2 yn y rhifiadur a'r enwadur.

$$\frac{2}{\left(\sqrt{2}\right)^{2}+2^{2}}+\left(\tan(45)\right)^{2}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{2}{2+2^{2}}+\left(\tan(45)\right)^{2}$$

Cyfrifo 2 i bŵer 2 a chael 4.

$$\frac{2}{2+4}+\left(\tan(45)\right)^{2}$$

Adio 2 a 4 i gael 6.

$$\frac{2}{6}+\left(\tan(45)\right)^{2}$$

Lleihau'r ffracsiwn \frac{2}{6} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\frac{1}{3}+\left(\tan(45)\right)^{2}$$

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

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

Cyfrifo 1 i bŵer 2 a chael 1.

$$\frac{1}{3}+1$$

Adio \frac{1}{3} a 1 i gael \frac{4}{3}.

$$\frac{4}{3}$$