Solve 0.05/3.14*1.25*sin(22)

$$\frac{ 0.05 }{ 3.14 \times 1.25 \times \sin ( 22 ) }$$

Evaluate

$$\frac{250000000000000}{7351654395787273}\approx 0.034005951$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.05}{3.14 \cdot 1.25 \cdot 0.374606593415912}$$

Multiply 3.14 and 1.25 to get 3.925.

$$\frac{0.05}{3.925\times 0.374606593415912}$$

Multiply 3.925 and 0.374606593415912 to get 1.4703308791574546.

$$\frac{0.05}{1.4703308791574546}$$

Expand \frac{0.05}{1.4703308791574546} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{500000000000000}{14703308791574546}$$

Reduce the fraction \frac{500000000000000}{14703308791574546} to lowest terms by extracting and canceling out 2.

$$\frac{250000000000000}{7351654395787273}$$

Factor

$$\frac{2 ^ {13} \cdot 5 ^ {15}}{11 \cdot 13 \cdot 131 \cdot 157 \cdot 2499643633} = 0.03400595111533777$$