Solve 6.2^2+4.8^2-2(4.8*6.2)cos(54)

$${ 6.2 }^{ 2 } + { 4.8 }^{ 2 } -2(4.8 \times 6.2) \cos ( 54 )$$

Evaluate

$$26.495021783552001088$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(6.2)} ^ {2} + {(4.8)} ^ {2} - 2 {(4.8 \cdot 6.2)} 0.5877852522924731$$

Calculate 6.2 to the power of 2 and get 38.44.

$$38.44+4.8^{2}-2\times 4.8\times 6.2\times 0.5877852522924731$$

Calculate 4.8 to the power of 2 and get 23.04.

$$38.44+23.04-2\times 4.8\times 6.2\times 0.5877852522924731$$

Add 38.44 and 23.04 to get 61.48.

$$61.48-2\times 4.8\times 6.2\times 0.5877852522924731$$

Multiply 2 and 4.8 to get 9.6.

$$61.48-9.6\times 6.2\times 0.5877852522924731$$

Multiply 9.6 and 6.2 to get 59.52.

$$61.48-59.52\times 0.5877852522924731$$

Multiply 59.52 and 0.5877852522924731 to get 34.984978216447998912.

$$61.48-34.984978216447998912$$

Subtract 34.984978216447998912 from 61.48 to get 26.495021783552001088.

$$26.495021783552001088$$

Factor

$$\frac{1511 \cdot 3373 \cdot 81227577539}{2 ^ {12} \cdot 5 ^ {18}} = 26\frac{7734715368000000}{15625000000000000} = 26.495021783552$$