(12)^2+(22)^2-2*12*22*cos75^circ eching

$$( 12 ) ^ { 2 } + ( 22 ) ^ { 2 } - 2 \times 12 \times 22 \times \cos 75 ^ { \circ }$$

Baholash

$$491,34354418586904928$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$${(12)} ^ {2} + {(22)} ^ {2} - 2 \cdot 12 \cdot 22 \cdot 0,25881904510252074$$

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$144+22^{2}-2\times 12\times 22\times 0,25881904510252074$$

2 daraja ko‘rsatkichini 22 ga hisoblang va 484 ni qiymatni oling.

$$144+484-2\times 12\times 22\times 0,25881904510252074$$

628 olish uchun 144 va 484'ni qo'shing.

$$628-2\times 12\times 22\times 0,25881904510252074$$

24 hosil qilish uchun 2 va 12 ni ko'paytirish.

$$628-24\times 22\times 0,25881904510252074$$

528 hosil qilish uchun 24 va 22 ni ko'paytirish.

$$628-528\times 0,25881904510252074$$

136,65645581413095072 hosil qilish uchun 528 va 0,25881904510252074 ni ko'paytirish.

$$628-136,65645581413095072$$

491,34354418586904928 olish uchun 628 dan 136,65645581413095072 ni ayirish.

$$491,34354418586904928$$

Omil

$$\frac{199 \cdot 2111 \cdot 3187 \cdot 1146863953}{2 ^ {12} \cdot 5 ^ {17}} = 491\frac{1073575580840704}{3125000000000000} = 491,343544185869$$