Solve 1.33*sin(40^circ)/1.00029

$$\frac{ 1.33 \times \sin ( 40 ^ { \circ } ) }{ 1.00029 }$$

Evaluate

$$\frac{854907520883097269}{1000290000000000000}\approx 0.85465967$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1.33 \cdot 0.6427876096865393}{1.00029}$$

Multiply 1.33 and 0.6427876096865393 to get 0.854907520883097269.

$$\frac{0.854907520883097269}{1.00029}$$

Expand \frac{0.854907520883097269}{1.00029} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{854907520883097269}{1000290000000000000}$$

Factor

$$\frac{7 \cdot 19 \cdot 6427876096865393}{3 \cdot 33343 \cdot 2 ^ {13} \cdot 5 ^ {13}} = 0.8546596695789194$$