Solve 6378^2+6378^2-2*6378^2*cos16^circapprox

$$6378 ^ { 2 } + 6378 ^ { 2 } - 2 \cdot 6378 ^ { 2 } \cdot \cos 16 ^ { \circ } \approx$$

Evaluate

$$3151661.9545637086237848$$

Solution Steps

Evaluate trigonometric functions in the problem

$$6378 ^ {2} + 6378 ^ {2} - 2 \cdot 6378 ^ {2} \cdot 0.9612616959383189$$

Calculate 6378 to the power of 2 and get 40678884.

$$40678884+6378^{2}-2\times 6378^{2}\times 0.9612616959383189$$

Calculate 6378 to the power of 2 and get 40678884.

$$40678884+40678884-2\times 6378^{2}\times 0.9612616959383189$$

Add 40678884 and 40678884 to get 81357768.

$$81357768-2\times 6378^{2}\times 0.9612616959383189$$

Calculate 6378 to the power of 2 and get 40678884.

$$81357768-2\times 40678884\times 0.9612616959383189$$

Multiply 2 and 40678884 to get 81357768.

$$81357768-81357768\times 0.9612616959383189$$

Multiply 81357768 and 0.9612616959383189 to get 78206106.0454362913762152.

$$81357768-78206106.0454362913762152$$

Subtract 78206106.0454362913762152 from 81357768 to get 3151661.9545637086237848.

$$3151661.9545637086237848$$

Factor

$$\frac{32261 \cdot 12007781551 \cdot 3 ^ {2} \cdot 1063 ^ {2}}{2 ^ {13} \cdot 5 ^ {16}} = 3151661\frac{1193204635557888}{1250000000000000} = 3151661.9545637085$$