Solve 2.23/cos64^circ

$$\frac { 2.23 } { \cos 64 ^ { \circ } }$$

Evaluate

$$\frac{111500000000000000}{21918557339453873}\approx 5.087013633$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2.23}{0.43837114678907746}$$

Expand \frac{2.23}{0.43837114678907746} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{223000000000000000}{43837114678907746}$$

Reduce the fraction \frac{223000000000000000}{43837114678907746} to lowest terms by extracting and canceling out 2.

$$\frac{111500000000000000}{21918557339453873}$$

Factor

$$\frac{223 \cdot 2 ^ {14} \cdot 5 ^ {15}}{7 \cdot 12464663 \cdot 251207953} = 5\frac{1907213302730640}{21918557339453870} = 5.087013632931836$$