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

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

Baholash

$$23,812936852641771486973359544141152$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{0,5150380749100542 \cdot 0,48480962024633706 + 1,2348971565350515 \cdot 19,081136687728215}{8 \sin^{2}(30) - \tan^{2}(45)}$$

0,249695413509547876042806516068652 hosil qilish uchun 0,5150380749100542 va 0,48480962024633706 ni ko'paytirish.

$$\frac{0,249695413509547876042806516068652+1,2348971565350515\times 19,081136687728215}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

23,5632414391322236109305530280725 hosil qilish uchun 1,2348971565350515 va 19,081136687728215 ni ko'paytirish.

$$\frac{0,249695413509547876042806516068652+23,5632414391322236109305530280725}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

23,812936852641771486973359544141152 olish uchun 0,249695413509547876042806516068652 va 23,5632414391322236109305530280725'ni qo'shing.

$$\frac{23,812936852641771486973359544141152}{8\left(\sin(30)\right)^{2}-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23,812936852641771486973359544141152}{8\times \left(\frac{1}{2}\right)^{2}-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23,812936852641771486973359544141152}{8\times \frac{1}{4}-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23,812936852641771486973359544141152}{2-\left(\tan(45)\right)^{2}}$$

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

$$\frac{23,812936852641771486973359544141152}{2-1^{2}}$$

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

$$\frac{23,812936852641771486973359544141152}{2-1}$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{23,812936852641771486973359544141152}{1}$$

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

$$23,812936852641771486973359544141152$$