Datrys frac{230^{circ}+cos^{2}45^{circ}-4tan^{2}30^circ}{2sec60^circ*sin30^circ+tan45^circ}

$$\frac { 230 ^ { \circ } + \cos ^ { 2 } 45 ^ { \circ } - 4 \tan ^ { 2 } 30 ^ { \circ } } { 2 \sec 60 ^ { \circ } \times \sin 30 ^ { \circ } + \tan 45 ^ { \circ } }$$

Enrhifo

$$\frac{687500000000000000}{9928203230275509}\approx 69.247172329$$

Camau Ateb

Evaluate trigonometric functions in the problem

$$\frac{230 + \cos^{2}(45) - 4 \tan^{2}(30)}{2 \cdot 1.1547005383792515 + \tan(45)}$$

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

$$\frac{230+\left(\frac{\sqrt{2}}{2}\right)^{2}-4\left(\tan(30)\right)^{2}}{2\times 1.1547005383792515+\tan(45)}$$

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

$$\frac{230+\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}-4\left(\tan(30)\right)^{2}}{2\times 1.1547005383792515+\tan(45)}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch 230 â \frac{2^{2}}{2^{2}}.

$$\frac{\frac{230\times 2^{2}}{2^{2}}+\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}-4\left(\tan(30)\right)^{2}}{2\times 1.1547005383792515+\tan(45)}$$

Gan fod gan \frac{230\times 2^{2}}{2^{2}} a \frac{\left(\sqrt{2}\right)^{2}}{2^{2}} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-4\left(\tan(30)\right)^{2}}{2\times 1.1547005383792515+\tan(45)}$$

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

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-4\times \left(\frac{\sqrt{3}}{3}\right)^{2}}{2\times 1.1547005383792515+\tan(45)}$$

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

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-4\times \frac{\left(\sqrt{3}\right)^{2}}{3^{2}}}{2\times 1.1547005383792515+\tan(45)}$$

Mynegwch 4\times \frac{\left(\sqrt{3}\right)^{2}}{3^{2}} fel ffracsiwn unigol.

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{4\left(\sqrt{3}\right)^{2}}{3^{2}}}{2\times 1.1547005383792515+\tan(45)}$$

Sgwâr \sqrt{3} yw 3.

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{4\times 3}{3^{2}}}{2\times 1.1547005383792515+\tan(45)}$$

Lluosi 4 a 3 i gael 12.

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{12}{3^{2}}}{2\times 1.1547005383792515+\tan(45)}$$

Cyfrifo 3 i bŵer 2 a chael 9.

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{12}{9}}{2\times 1.1547005383792515+\tan(45)}$$

Lleihau'r ffracsiwn \frac{12}{9} i'r graddau lleiaf posib drwy dynnu a chanslo allan 3.

$$\frac{\frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{4}{3}}{2\times 1.1547005383792515+\tan(45)}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin 2^{2} a 3 yw 12. Lluoswch \frac{230\times 2^{2}+\left(\sqrt{2}\right)^{2}}{2^{2}} â \frac{3}{3}. Lluoswch \frac{4}{3} â \frac{4}{4}.

$$\frac{\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)}{12}-\frac{4\times 4}{12}}{2\times 1.1547005383792515+\tan(45)}$$

Gan fod gan \frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)}{12} a \frac{4\times 4}{12} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12}}{2\times 1.1547005383792515+\tan(45)}$$

Lluosi 2 a 1.1547005383792515 i gael 2.309401076758503.

$$\frac{\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12}}{2.309401076758503+\tan(45)}$$

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

$$\frac{\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12}}{2.309401076758503+1}$$

Adio 2.309401076758503 a 1 i gael 3.309401076758503.

$$\frac{\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12}}{3.309401076758503}$$

Mynegwch \frac{\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12}}{3.309401076758503} fel ffracsiwn unigol.

$$\frac{3\left(230\times 2^{2}+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12\times 3.309401076758503}$$

Cyfrifo 2 i bŵer 2 a chael 4.

$$\frac{3\left(230\times 4+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12\times 3.309401076758503}$$

Lluosi 230 a 4 i gael 920.

$$\frac{3\left(920+\left(\sqrt{2}\right)^{2}\right)-4\times 4}{12\times 3.309401076758503}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{3\left(920+2\right)-4\times 4}{12\times 3.309401076758503}$$

Adio 920 a 2 i gael 922.

$$\frac{3\times 922-4\times 4}{12\times 3.309401076758503}$$

Lluosi 3 a 922 i gael 2766.

$$\frac{2766-4\times 4}{12\times 3.309401076758503}$$

Lluosi -4 a 4 i gael -16.

$$\frac{2766-16}{12\times 3.309401076758503}$$

Tynnu 16 o 2766 i gael 2750.

$$\frac{2750}{12\times 3.309401076758503}$$

Lluosi 12 a 3.309401076758503 i gael 39.712812921102036.

$$\frac{2750}{39.712812921102036}$$

Ehangu \frac{2750}{39.712812921102036} drwy luosi'r rhifiadur a'r enwadur gyda 1000000000000000.

$$\frac{2750000000000000000}{39712812921102036}$$

Lleihau'r ffracsiwn \frac{2750000000000000000}{39712812921102036} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{687500000000000000}{9928203230275509}$$