Solve 3.2/sin(25^circ)

$$\frac { 3.2 } { \sin ( 25 ^ { \circ } ) }$$

Evaluate

$$\frac{40000000000000000}{5282728271758743}\approx 7.571845066$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{3.2}{0.42261826174069944}$$

Expand \frac{3.2}{0.42261826174069944} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{320000000000000000}{42261826174069944}$$

Reduce the fraction \frac{320000000000000000}{42261826174069944} to lowest terms by extracting and canceling out 8.

$$\frac{40000000000000000}{5282728271758743}$$

Factor

$$\frac{2 ^ {18} \cdot 5 ^ {16}}{3 \cdot 13 \cdot 101 \cdot 55843 \cdot 24016159} = 7\frac{3020902097688799}{5282728271758743} = 7.571845066087995$$