Solve cos(0.057^circ*700)/cos(0.057^circ*900)

$$\frac { \cos ( 0.057 ^ { \circ } \times 700 ) } { \cos ( 0.057 ^ { \circ } \times 900 ) }$$

Evaluate

$$\frac{7671651518152997}{6252426563357052}\approx 1.226987865$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.7671651518152997}{0.6252426563357052}$$

Expand \frac{0.7671651518152997}{0.6252426563357052} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{7671651518152997}{6252426563357052}$$

Factor

$$\frac{7671651518152997}{13 \cdot 212987 \cdot 62726297 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 1\frac{1419224954795945}{6252426563357052} = 1.226987864697756$$