Solve 2.5/sin(31)

$$\frac{ 2.5 }{ \sin ( 31 ) }$$

Evaluate

$$\frac{12500000000000000}{2575190374550271}\approx 4.854010066$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2.5}{0.5150380749100542}$$

Expand \frac{2.5}{0.5150380749100542} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{25000000000000000}{5150380749100542}$$

Reduce the fraction \frac{25000000000000000}{5150380749100542} to lowest terms by extracting and canceling out 2.

$$\frac{12500000000000000}{2575190374550271}$$

Factor

$$\frac{2 ^ {14} \cdot 5 ^ {17}}{1350403 \cdot 211886573 \cdot 3 ^ {2}} = 4\frac{2199238501798916}{2575190374550271} = 4.854010066025891$$