Solve 4.4^2+3.2^2-2(4.4*3.2)cos(66)

$${ 4.4 }^{ 2 } + { 3.2 }^{ 2 } -2(4.4 \times 3.2) \cos ( 66 )$$

Evaluate

$$18.146296130985466368$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(4.4)} ^ {2} + {(3.2)} ^ {2} - 2 {(4.4 \cdot 3.2)} 0.4067366430758002$$

Calculate 4.4 to the power of 2 and get 19.36.

$$19.36+3.2^{2}-2\times 4.4\times 3.2\times 0.4067366430758002$$

Calculate 3.2 to the power of 2 and get 10.24.

$$19.36+10.24-2\times 4.4\times 3.2\times 0.4067366430758002$$

Add 19.36 and 10.24 to get 29.6.

$$29.6-2\times 4.4\times 3.2\times 0.4067366430758002$$

Multiply 2 and 4.4 to get 8.8.

$$29.6-8.8\times 3.2\times 0.4067366430758002$$

Multiply 8.8 and 3.2 to get 28.16.

$$29.6-28.16\times 0.4067366430758002$$

Multiply 28.16 and 0.4067366430758002 to get 11.453703869014533632.

$$29.6-11.453703869014533632$$

Subtract 11.453703869014533632 from 29.6 to get 18.146296130985466368.

$$18.146296130985466368$$

Factor

$$\frac{3 \cdot 6997 \cdot 13441 \cdot 125618419}{2 ^ {9} \cdot 5 ^ {18}} = 18\frac{285734630830988}{1953125000000000} = 18.146296130985466$$