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

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

Aromātai

$$23.812936852641771486973359544141152$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

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

Whakareatia te 0.5150380749100542 ki te 0.48480962024633706, ka 0.249695413509547876042806516068652.

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

Whakareatia te 1.2348971565350515 ki te 19.081136687728215, ka 23.5632414391322236109305530280725.

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

Tāpirihia te 0.249695413509547876042806516068652 ki te 23.5632414391322236109305530280725, ka 23.812936852641771486973359544141152.

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

Tīkina te uara \sin(30) mai i te ripanga uara pākoki.

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

Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

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

Whakareatia te 8 ki te \frac{1}{4}, ka 2.

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

Tīkina te uara \tan(45) mai i te ripanga uara pākoki.

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

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

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

Tangohia te 1 i te 2, ka 1.

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

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$23.812936852641771486973359544141152$$