Solve 8cos(22.5^circ)cos(67.5^circ)

$$8 \cos ( 22.5 ^ { \circ } ) \cos ( 67.5 ^ { \circ } )$$

Evaluate

$$2.828427124746190430366198875977024$$

Solution Steps

Evaluate trigonometric functions in the problem

$$8 \cdot 0.9238795325112867 \cdot 0.38268343236508984$$

Multiply 8 and 0.9238795325112867 to get 7.3910362600902936.

$$7.3910362600902936\times 0.38268343236508984$$

Multiply 7.3910362600902936 and 0.38268343236508984 to get 2.828427124746190430366198875977024.

$$2.828427124746190430366198875977024$$

Factor

$$\frac{3 \cdot 17 \cdot 29 \cdot 43 \cdot 907 \cdot 2137 \cdot 6887155439 \cdot 52056707453}{2 ^ {27} \cdot 5 ^ {33}} = 2\frac{1.294417382415923 \times 10^{31}}{1.5625 \times 10^{31}} = 2.8284271247461907$$