Solve (12)^2+(2.2)^2-2*12*2.2*cos75^circ

$$( 12 ) ^ { 2 } + ( 2.2 ) ^ { 2 } - 2 \times 12 \times 2.2 \times \cos 75 ^ { \circ }$$

Evaluate

$$135.174354418586904928$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(12)} ^ {2} + {(2.2)} ^ {2} - 2 \cdot 12 \cdot 2.2 \cdot 0.25881904510252074$$

Calculate 12 to the power of 2 and get 144.

$$144+2.2^{2}-2\times 12\times 2.2\times 0.25881904510252074$$

Calculate 2.2 to the power of 2 and get 4.84.

$$144+4.84-2\times 12\times 2.2\times 0.25881904510252074$$

Add 144 and 4.84 to get 148.84.

$$148.84-2\times 12\times 2.2\times 0.25881904510252074$$

Multiply 2 and 12 to get 24.

$$148.84-24\times 2.2\times 0.25881904510252074$$

Multiply 24 and 2.2 to get 52.8.

$$148.84-52.8\times 0.25881904510252074$$

Multiply 52.8 and 0.25881904510252074 to get 13.665645581413095072.

$$148.84-13.665645581413095072$$

Subtract 13.665645581413095072 from 148.84 to get 135.174354418586904928.

$$135.174354418586904928$$

Factor

$$\frac{13 \cdot 324938351967756983}{2 ^ {13} \cdot 5 ^ {18}} = 135\frac{5448575580840960}{31250000000000000} = 135.17435441858692$$