Solve 1/sin(53)

$$\frac{ 1 }{ \sin ( 53 ) }$$

Evaluate

$$\frac{312500000000000}{249573596889779}\approx 1.252135658$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{0.7986355100472928}$$

Expand \frac{1}{0.7986355100472928} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{10000000000000000}{7986355100472928}$$

Reduce the fraction \frac{10000000000000000}{7986355100472928} to lowest terms by extracting and canceling out 32.

$$\frac{312500000000000}{249573596889779}$$

Factor

$$\frac{2 ^ {11} \cdot 5 ^ {16}}{79 \cdot 3159159454301} = 1\frac{62926403110221}{249573596889779} = 1.2521356581562257$$