Réitigh 30^{circ}+frac{sin31^{circ}sec59^{circ}+cot59^{circ}cot31^{circ}}{8sin^230^circ-tan^245^circ}

$$30 ^ { \circ } + \frac { \sin 31 ^ { \circ } \sec 59 ^ { \circ } + \cot 59 ^ { \circ } \cot 31 ^ { \circ } } { 8 \sin ^ { 2 } 30 ^ { \circ } - \tan ^ { 2 } 45 ^ { \circ } }$$

Luacháil

$$32.00000000000000025142552606969684$$

Céimeanna Réitigh

Evaluate trigonometric functions in the problem

$$30 + \frac{0.5150380749100542 \cdot 1.9416040264103562 + 0.6008606190275606 \cdot 1.664279482350518}{8 \sin^{2}(30) - \tan^{2}(45)}$$

Méadaigh 0.5150380749100542 agus 1.9416040264103562 chun 0.99999999999999988987361438330604 a fháil.

$$30+\frac{0.99999999999999988987361438330604+0.6008606190275606\times 1.664279482350518}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

Méadaigh 0.6008606190275606 agus 1.664279482350518 chun 1.0000000000000003615519116863908 a fháil.

$$30+\frac{0.99999999999999988987361438330604+1.0000000000000003615519116863908}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

Suimigh 0.99999999999999988987361438330604 agus 1.0000000000000003615519116863908 chun 2.00000000000000025142552606969684 a fháil.

$$30+\frac{2.00000000000000025142552606969684}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

Faigh luach do\sin(30)ón dtábla luachanna triantánúla.

$$30+\frac{2.00000000000000025142552606969684}{8\times \left(\frac{1}{2}\right)^{2}-\left(\tan(45)\right)^{2}}$$

Ríomh cumhacht \frac{1}{2} de 2 agus faigh \frac{1}{4}.

$$30+\frac{2.00000000000000025142552606969684}{8\times \frac{1}{4}-\left(\tan(45)\right)^{2}}$$

Méadaigh 8 agus \frac{1}{4} chun 2 a fháil.

$$30+\frac{2.00000000000000025142552606969684}{2-\left(\tan(45)\right)^{2}}$$

Faigh luach do\tan(45)ón dtábla luachanna triantánúla.

$$30+\frac{2.00000000000000025142552606969684}{2-1^{2}}$$

Ríomh cumhacht 1 de 2 agus faigh 1.

$$30+\frac{2.00000000000000025142552606969684}{2-1}$$

Dealaigh 1 ó 2 chun 1 a fháil.

$$30+\frac{2.00000000000000025142552606969684}{1}$$

Tugann aon rud a roinntear ar a haon é féin.

$$30+2.00000000000000025142552606969684$$

Suimigh 30 agus 2.00000000000000025142552606969684 chun 32.00000000000000025142552606969684 a fháil.

$$32.00000000000000025142552606969684$$