Solve 0.01/2/sin(0.057^circ)

$$\frac{ \frac{ 0.01 }{ 2 } }{ \sin ( 0.057 ^ { \circ } ) }$$

Evaluate

$$\frac{25000000000000000}{4974187547689853}\approx 5.0259464$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\frac{0.01}{2}}{0.0009948375095379706}$$

Express \frac{\frac{0.01}{2}}{0.0009948375095379706} as a single fraction.

$$\frac{0.01}{2\times 0.0009948375095379706}$$

Multiply 2 and 0.0009948375095379706 to get 0.0019896750190759412.

$$\frac{0.01}{0.0019896750190759412}$$

Expand \frac{0.01}{0.0019896750190759412} by multiplying both numerator and the denominator by 10000000000000000000.

$$\frac{100000000000000000}{19896750190759412}$$

Reduce the fraction \frac{100000000000000000}{19896750190759412} to lowest terms by extracting and canceling out 4.

$$\frac{25000000000000000}{4974187547689853}$$

Factor

$$\frac{2 ^ {15} \cdot 5 ^ {17}}{59 \cdot 443 \cdot 3433 \cdot 55436093} = 5\frac{129062261550735}{4974187547689853} = 5.025946400354501$$