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

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

Calcular

$$491.34354418586904928$$

Pasos da solución

Evaluate trigonometric functions in the problem

$${(12)} ^ {2} + {(22)} ^ {2} - 2 \cdot 12 \cdot 22 \cdot 0.25881904510252074$$

Calcula 12 á potencia de 2 e obtén 144.

$$144+22^{2}-2\times 12\times 22\times 0.25881904510252074$$

Calcula 22 á potencia de 2 e obtén 484.

$$144+484-2\times 12\times 22\times 0.25881904510252074$$

Suma 144 e 484 para obter 628.

$$628-2\times 12\times 22\times 0.25881904510252074$$

Multiplica 2 e 12 para obter 24.

$$628-24\times 22\times 0.25881904510252074$$

Multiplica 24 e 22 para obter 528.

$$628-528\times 0.25881904510252074$$

Multiplica 528 e 0.25881904510252074 para obter 136.65645581413095072.

$$628-136.65645581413095072$$

Resta 136.65645581413095072 de 628 para obter 491.34354418586904928.

$$491.34354418586904928$$

Factorizar

$$\frac{199 \cdot 2111 \cdot 3187 \cdot 1146863953}{2 ^ {12} \cdot 5 ^ {17}} = 491\frac{1073575580840704}{3125000000000000} = 491.343544185869$$