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

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

Arvuta

$$491,34354418586904928$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Arvutage 2 aste 12 ja leidke 144.

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

Arvutage 2 aste 22 ja leidke 484.

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

Liitke 144 ja 484, et leida 628.

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

Korrutage 2 ja 12, et leida 24.

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

Korrutage 24 ja 22, et leida 528.

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

Korrutage 528 ja 0,25881904510252074, et leida 136,65645581413095072.

$$628-136,65645581413095072$$

Lahutage 136,65645581413095072 väärtusest 628, et leida 491,34354418586904928.

$$491,34354418586904928$$

Lahuta teguriteks

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