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

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

Baholash

$$2,00000000000000025142552606969684$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{0,5150380749100542 \cdot 1,9416040264103562 + 0,6008606190275606 \cdot 1,664279482350518}{8 \sin^{2}(30) - \tan^{2}(45)}$$

0,99999999999999988987361438330604 hosil qilish uchun 0,5150380749100542 va 1,9416040264103562 ni ko'paytirish.

$$\frac{0,99999999999999988987361438330604+0,6008606190275606\times 1,664279482350518}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

1,0000000000000003615519116863908 hosil qilish uchun 0,6008606190275606 va 1,664279482350518 ni ko'paytirish.

$$\frac{0,99999999999999988987361438330604+1,0000000000000003615519116863908}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

2,00000000000000025142552606969684 olish uchun 0,99999999999999988987361438330604 va 1,0000000000000003615519116863908'ni qo'shing.

$$\frac{2,00000000000000025142552606969684}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

Get the value of \sin(30) from trigonometric values table.

$$\frac{2,00000000000000025142552606969684}{8\times \left(\frac{1}{2}\right)^{2}-\left(\tan(45)\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$\frac{2,00000000000000025142552606969684}{8\times \frac{1}{4}-\left(\tan(45)\right)^{2}}$$

2 hosil qilish uchun 8 va \frac{1}{4} ni ko'paytirish.

$$\frac{2,00000000000000025142552606969684}{2-\left(\tan(45)\right)^{2}}$$

Get the value of \tan(45) from trigonometric values table.

$$\frac{2,00000000000000025142552606969684}{2-1^{2}}$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{2,00000000000000025142552606969684}{2-1}$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{2,00000000000000025142552606969684}{1}$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$2,00000000000000025142552606969684$$