Solve 2.1/cos23^circ

$$\frac { 2.1 } { \cos 23 ^ { \circ } }$$

Evaluate

$$\frac{5250000000000000}{2301262133631101}\approx 2.281356793$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2.1}{0.9205048534524404}$$

Expand \frac{2.1}{0.9205048534524404} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{21000000000000000}{9205048534524404}$$

Reduce the fraction \frac{21000000000000000}{9205048534524404} to lowest terms by extracting and canceling out 4.

$$\frac{5250000000000000}{2301262133631101}$$

Factor

$$\frac{3 \cdot 7 \cdot 2 ^ {13} \cdot 5 ^ {15}}{149 \cdot 15444712306249} = 2\frac{647475732737798}{2301262133631101} = 2.281356792551122$$