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

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

Nilaikan

$$2.00000000000000025142552606969684$$

Langkah Penyelesaian

Evaluate trigonometric functions in the problem

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

Darabkan 0.5150380749100542 dan 1.9416040264103562 untuk mendapatkan 0.99999999999999988987361438330604.

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

Darabkan 0.6008606190275606 dan 1.664279482350518 untuk mendapatkan 1.0000000000000003615519116863908.

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

Tambahkan 0.99999999999999988987361438330604 dan 1.0000000000000003615519116863908 untuk dapatkan 2.00000000000000025142552606969684.

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

Dapatkan nilai \sin(30) daripada nilai trigonometric.

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

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

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

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

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

Dapatkan nilai \tan(45) daripada nilai trigonometric.

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

Kira 1 dikuasakan 2 dan dapatkan 1.

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

Tolak 1 daripada 2 untuk mendapatkan 1.

$$\frac{2.00000000000000025142552606969684}{1}$$

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

$$2.00000000000000025142552606969684$$