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

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

I-evaluate

$$32.00000000000000025142552606969684$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

I-multiply ang 0.5150380749100542 at 1.9416040264103562 para makuha ang 0.99999999999999988987361438330604.

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

I-multiply ang 0.6008606190275606 at 1.664279482350518 para makuha ang 1.0000000000000003615519116863908.

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

Idagdag ang 0.99999999999999988987361438330604 at 1.0000000000000003615519116863908 para makuha ang 2.00000000000000025142552606969684.

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

Kunin ang halaga ng \sin(30) mula sa talahanayan ng trigonometric values.

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

Kalkulahin ang \frac{1}{2} sa power ng 2 at kunin ang \frac{1}{4}.

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

I-multiply ang 8 at \frac{1}{4} para makuha ang 2.

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

Kunin ang halaga ng \tan(45) mula sa talahanayan ng trigonometric values.

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

Kalkulahin ang 1 sa power ng 2 at kunin ang 1.

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

I-subtract ang 1 mula sa 2 para makuha ang 1.

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

Ang anumang numero na idi-divide sa isa, ang sagot ay ang numerong ito pa rin.

$$30+2.00000000000000025142552606969684$$

Idagdag ang 30 at 2.00000000000000025142552606969684 para makuha ang 32.00000000000000025142552606969684.

$$32.00000000000000025142552606969684$$