Lutasin ang frac{sin31^{circ}sin29^{circ}+cot39^circcot3}{8sin^230-tan^245^circ}

$$\frac { \sin 31 ^ { \circ } \sin 29 ^ { \circ } + \cot 39 ^ { \circ } \cot 3 } { 8 \sin ^ { 2 } 30 - \tan ^ { 2 } 45 ^ { \circ } }$$

I-evaluate

$$23.812936852641771486973359544141152$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$\frac{0.5150380749100542 \cdot 0.48480962024633706 + 1.2348971565350515 \cdot 19.081136687728215}{8 \sin^{2}(30) - \tan^{2}(45)}$$

I-multiply ang 0.5150380749100542 at 0.48480962024633706 para makuha ang 0.249695413509547876042806516068652.

$$\frac{0.249695413509547876042806516068652+1.2348971565350515\times 19.081136687728215}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

I-multiply ang 1.2348971565350515 at 19.081136687728215 para makuha ang 23.5632414391322236109305530280725.

$$\frac{0.249695413509547876042806516068652+23.5632414391322236109305530280725}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

Idagdag ang 0.249695413509547876042806516068652 at 23.5632414391322236109305530280725 para makuha ang 23.812936852641771486973359544141152.

$$\frac{23.812936852641771486973359544141152}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23.812936852641771486973359544141152}{8\times \left(\frac{1}{2}\right)^{2}-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23.812936852641771486973359544141152}{8\times \frac{1}{4}-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23.812936852641771486973359544141152}{2-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23.812936852641771486973359544141152}{2-1^{2}}$$

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

$$\frac{23.812936852641771486973359544141152}{2-1}$$

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

$$\frac{23.812936852641771486973359544141152}{1}$$

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

$$23.812936852641771486973359544141152$$