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

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

Evalwa

$$23.812936852641771486973359544141152$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

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

Immultiplika 0.5150380749100542 u 0.48480962024633706 biex tikseb 0.249695413509547876042806516068652.

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

Immultiplika 1.2348971565350515 u 19.081136687728215 biex tikseb 23.5632414391322236109305530280725.

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

Żid 0.249695413509547876042806516068652 u 23.5632414391322236109305530280725 biex tikseb 23.812936852641771486973359544141152.

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

Ikseb il-valur ta’ \sin(30) mit-tabella tal-valuri trigonometriċi.

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

Ikkalkula \frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

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

Immultiplika 8 u \frac{1}{4} biex tikseb 2.

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

Ikseb il-valur ta’ \tan(45) mit-tabella tal-valuri trigonometriċi.

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

Ikkalkula 1 bil-power ta' 2 u tikseb 1.

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

Naqqas 1 minn 2 biex tikseb 1.

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

Kwalunkwe ħaġa diviża b'wieħed tagħti riżultat tagħha stess.

$$23.812936852641771486973359544141152$$