Solve 65/sin(31)

$$\frac{ 65 }{ \sin ( 31 ) }$$

Evaluate

$$\frac{325000000000000000}{2575190374550271}\approx 126.204261717$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{65}{0.5150380749100542}$$

Expand \frac{65}{0.5150380749100542} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{650000000000000000}{5150380749100542}$$

Reduce the fraction \frac{650000000000000000}{5150380749100542} to lowest terms by extracting and canceling out 2.

$$\frac{325000000000000000}{2575190374550271}$$

Factor

$$\frac{13 \cdot 2 ^ {15} \cdot 5 ^ {17}}{1350403 \cdot 211886573 \cdot 3 ^ {2}} = 126\frac{526012806665854}{2575190374550271} = 126.20426171667317$$