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

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

Ovrednoti

$$491,34354418586904928$$

Koraki rešitve

Evaluate trigonometric functions in the problem

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

Izračunajte potenco 12 števila 2, da dobite 144.

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

Izračunajte potenco 22 števila 2, da dobite 484.

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

Seštejte 144 in 484, da dobite 628.

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

Pomnožite 2 in 12, da dobite 24.

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

Pomnožite 24 in 22, da dobite 528.

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

Pomnožite 528 in 0,25881904510252074, da dobite 136,65645581413095072.

$$628-136,65645581413095072$$

Odštejte 136,65645581413095072 od 628, da dobite 491,34354418586904928.

$$491,34354418586904928$$

Faktoriziraj

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