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

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

Nilaikan

$$23.812936852641771486973359544141152$$

Langkah Penyelesaian

Evaluate trigonometric functions in the problem

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

Darabkan 0.5150380749100542 dan 0.48480962024633706 untuk mendapatkan 0.249695413509547876042806516068652.

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

Darabkan 1.2348971565350515 dan 19.081136687728215 untuk mendapatkan 23.5632414391322236109305530280725.

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

Tambahkan 0.249695413509547876042806516068652 dan 23.5632414391322236109305530280725 untuk dapatkan 23.812936852641771486973359544141152.

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

Dapatkan nilai \sin(30) daripada nilai trigonometric.

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

Kira \frac{1}{2} dikuasakan 2 dan dapatkan \frac{1}{4}.

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

Darabkan 8 dan \frac{1}{4} untuk mendapatkan 2.

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

Dapatkan nilai \tan(45) daripada nilai trigonometric.

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

Kira 1 dikuasakan 2 dan dapatkan 1.

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

Tolak 1 daripada 2 untuk mendapatkan 1.

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

Apa-apa sahaja yang dibahagikan dengan satu menjadi nombor tersebut.

$$23.812936852641771486973359544141152$$