Solve 2/sin22*5^circ

$$\frac { 2 } { \sin 22 \cdot 5 ^ { \circ } }$$

Evaluate

$$\frac{5000000000000000}{2349231551964771}\approx 2.128355545$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2}{0.9396926207859084}$$

Expand \frac{2}{0.9396926207859084} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{20000000000000000}{9396926207859084}$$

Reduce the fraction \frac{20000000000000000}{9396926207859084} to lowest terms by extracting and canceling out 4.

$$\frac{5000000000000000}{2349231551964771}$$

Factor

$$\frac{2 ^ {15} \cdot 5 ^ {16}}{3 \cdot 587 \cdot 1334032681411} = 2\frac{301536896070458}{2349231551964771} = 2.128355544951824$$